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Volumn 38, Issue 3, 2002, Pages 451-649

Global structure of an elliptic fibration

Author keywords

Elliptic fibration; Minimal model; Variation of Hodge structure

Indexed keywords


EID: 0036710222     PISSN: 00345318     EISSN: 16634926     Source Type: Journal    
DOI: 10.2977/prims/1145476270     Document Type: Article
Times cited : (22)

References (75)
  • 2
    • 0000727848 scopus 로고
    • Higher regulators and values of L-functions
    • B1
    • [B1] Beilinson, A., Higher regulators and values of L-functions, J. Soviet Math., 30 (1985), 2036-2070.
    • (1985) J. Soviet Math. , vol.30 , pp. 2036-2070
    • Beilinson, A.1
  • 3
    • 0000900140 scopus 로고    scopus 로고
    • Parabolic bundles as orbifold bundles
    • B2
    • [B2] Biswas, I., Parabolic bundles as orbifold bundles, Duke Math. J., 88 (1997), 305-325.
    • (1997) Duke Math. J. , vol.88 , pp. 305-325
    • Biswas, I.1
  • 4
    • 33646850901 scopus 로고
    • Intersection numbers of sections of elliptic surfaces
    • C
    • [C] Cox, D.A. and Zucker, S., Intersection numbers of sections of elliptic surfaces, Invent. Math., 53 (1979), 1-44.
    • (1979) Invent. Math. , vol.53 , pp. 1-44
    • Cox, D.A.1    Zucker, S.2
  • 5
    • 84956099454 scopus 로고
    • The geometry of toric varieties
    • D1
    • [D1] Danilov, V., The geometry of toric varieties, Russian Math. Surveys, 33 (1978), 97-154.
    • (1978) Russian Math. Surveys , vol.33 , pp. 97-154
    • Danilov, V.1
  • 6
    • 0041644556 scopus 로고
    • Équations différentielles à points singuliers réguliers
    • D2, Springer-Verlag
    • [D2] Deligne, P., Équations Différentielles à Points Singuliers Réguliers, Lecture Notes in Math., 163, Springer-Verlag, 1970.
    • (1970) Lecture Notes in Math. , vol.163
    • Deligne, P.1
  • 7
    • 51649177554 scopus 로고
    • Théorie de Hodge II
    • D3
    • [D3] _, Théorie de Hodge II, Publ. Math. I.H.E.S., 40 (1972), 5-57.
    • (1972) Publ. Math. I.H.E.S. , vol.40 , pp. 5-57
  • 9
    • 0004012757 scopus 로고
    • English translation: Springer-Verlag
    • [D4] Doi, K. and Miyake, T., Automorphic forms and number theory (Japanese), Kinokuniya, 1976; English translation: T. Miyake, Modular Forms, Springer-Verlag, 1989.
    • (1989) Modular Forms
    • Miyake, T.1
  • 10
    • 0005187282 scopus 로고
    • Elliptic threefolds I: Ogg-Shafarevich theory
    • D5
    • [D5] Dolgachev, I. and Gross, M., Elliptic threefolds I: Ogg-Shafarevich theory, J. Alg. Geom., 3 (1994), 39-80.
    • (1994) J. Alg. Geom. , vol.3 , pp. 39-80
    • Dolgachev, I.1    Gross, M.2
  • 11
    • 0005196230 scopus 로고
    • Extendability of normal functions associated to algebraic cycles
    • E, Topics in Transcendental Algebraic Geometry, Princeton Univ. Press
    • [E] El Zein, F. and Zucker, S., Extendability of normal functions associated to algebraic cycles, in Topics in Transcendental Algebraic Geometry, Ann. of Math. Stud., 106, Princeton Univ. Press, 1984, pp. 269-288.
    • (1984) Ann. of Math. Stud. , vol.106 , pp. 269-288
    • El Zein, F.1    Zucker, S.2
  • 12
    • 0001630649 scopus 로고
    • Divisorenklassengruppen quasihomogener singularitäten
    • F1
    • [F1] Flenner, H., Divisorenklassengruppen quasihomogener Singularitäten, J. Reine Angew. Math., 328 (1981), 128-160.
    • (1981) J. Reine Angew. Math. , vol.328 , pp. 128-160
    • Flenner, H.1
  • 13
    • 0001870714 scopus 로고
    • Closedness of the Douady spaces of compact Kähler spaces
    • F2
    • [F2] Fujiki, A., Closedness of the Douady spaces of compact Kähler spaces, Publ. RIMS. Kyoto Univ., 14 (1978), 1-52.
    • (1978) Publ. RIMS. Kyoto Univ. , vol.14 , pp. 1-52
    • Fujiki, A.1
  • 14
    • 84972556910 scopus 로고
    • Kählerian normal complex surfaces
    • F3
    • [F3] _, Kählerian normal complex surfaces, Tôhoku Math. J., 35 (1983), 101-117.
    • (1983) Tôhoku Math. J. , vol.35 , pp. 101-117
  • 15
    • 0005215618 scopus 로고
    • Logarithmic transformations on elliptic fiber spaces; And II
    • F4
    • [F4] Fujimoto, Y., Logarithmic transformations on elliptic fiber spaces; And II, J. Math. Kyoto Univ., 28 (1988), 91-110; Math. Ann., 288 (1990), 559-570.
    • (1988) J. Math. Kyoto Univ. , vol.28 , pp. 91-110
    • Fujimoto, Y.1
  • 16
    • 0001095659 scopus 로고
    • [F4] Fujimoto, Y., Logarithmic transformations on elliptic fiber spaces; And II, J. Math. Kyoto Univ., 28 (1988), 91-110; Math. Ann., 288 (1990), 559-570.
    • (1990) Math. Ann. , vol.288 , pp. 559-570
  • 17
    • 84972562496 scopus 로고
    • Zariski decomposition and canonical rings of elliptic threefolds
    • F5
    • [F5] Fujita, T., Zariski decomposition and canonical rings of elliptic threefolds, J. Math. Soc. Japan, 38 (1986), 19-37.
    • (1986) J. Math. Soc. Japan , vol.38 , pp. 19-37
    • Fujita, T.1
  • 18
    • 0002383611 scopus 로고
    • Intersection homology II
    • G1
    • [G1] Goresky, M. and Macpherson, R., Intersection homology II, Invent. Math., 71 (1983), 77-129.
    • (1983) Invent. Math. , vol.71 , pp. 77-129
    • Goresky, M.1    Macpherson, R.2
  • 19
    • 0001558354 scopus 로고
    • Komplexe räume
    • G2
    • [G2] Grauert, H. and Remmert, R., Komplexe Räume, Math. Ann., 136 (1958), 245-318.
    • (1958) Math. Ann. , vol.136 , pp. 245-318
    • Grauert, H.1    Remmert, R.2
  • 20
    • 0000954867 scopus 로고
    • Periods of integrals on algebraic manifolds I, II and III
    • G3
    • [G3] Griffiths, P., Periods of integrals on algebraic manifolds I, II and III, Amer. J. Math., 90 (1968), 568-626; ibid., 90 (1968), 805-865; Publ. Math. IHES., 38 (1970), 125-180.
    • (1968) Amer. J. Math. , vol.90 , pp. 568-626
    • Griffiths, P.1
  • 21
    • 0000954867 scopus 로고
    • [G3] Griffiths, P., Periods of integrals on algebraic manifolds I, II and III, Amer. J. Math., 90 (1968), 568-626; ibid., 90 (1968), 805-865; Publ. Math. IHES., 38 (1970), 125-180.
    • (1968) Amer. J. Math. , vol.90 , pp. 805-865
  • 22
    • 51649173559 scopus 로고
    • [G3] Griffiths, P., Periods of integrals on algebraic manifolds I, II and III, Amer. J. Math., 90 (1968), 568-626; ibid., 90 (1968), 805-865; Publ. Math. IHES., 38 (1970), 125-180.
    • (1970) Publ. Math. IHES. , vol.38 , pp. 125-180
  • 23
    • 21944439796 scopus 로고    scopus 로고
    • Elliptic three-folds II: Multiple fibers
    • G4
    • [G4] Gross, M., Elliptic three-folds II: Multiple fibers, Trans. Amer. Math. Soc., 349 (1997), 3409-3468.
    • (1997) Trans. Amer. Math. Soc. , vol.349 , pp. 3409-3468
    • Gross, M.1
  • 24
    • 84973998585 scopus 로고
    • A finiteness theorem for elliptic Calabi-Yau threefolds
    • G5
    • [G5] _, A finiteness theorem for elliptic Calabi-Yau threefolds, Duke Math. J., 74 (1994), 271-299.
    • (1994) Duke Math. J. , vol.74 , pp. 271-299
  • 26
    • 0000554923 scopus 로고
    • Resolution of singularities of an algebraic variety over a field of characteristic zero, I, II
    • H1
    • [H1] Hironaka, H., Resolution of singularities of an algebraic variety over a field of characteristic zero, I, II, Ann. of Math., 79 (1964), 109-326.
    • (1964) Ann. of Math. , vol.79 , pp. 109-326
    • Hironaka, H.1
  • 27
    • 0001266755 scopus 로고
    • Desingularization of complex-analytic varieties
    • H2, (Nice 1970) Gauthier-Villars
    • [H2] _, Desingularization of complex-analytic varieties, Actes du Congrès International des Mathématiciens (Nice, 1970), 2, Gauthier-Villars, 1971, pp. 627-631.
    • (1971) Actes du Congrès International des Mathématiciens , vol.2 , pp. 627-631
  • 28
    • 0000590722 scopus 로고
    • Flattening theorem in complex-analytic geometry
    • H3
    • [H3] _, Flattening theorem in complex-analytic geometry, Amer. J. Math., 97 (1975), 503-547.
    • (1975) Amer. J. Math. , vol.97 , pp. 503-547
  • 29
    • 0037684946 scopus 로고
    • Algebraic geometry, an introduction to birational geometry of algebraic varieties
    • I, Springer-Verlag
    • [I] Iitaka, S., Algebraic Geometry, An Introduction to Birational Geometry of Algebraic Varieties, Grad. Text in Math., 76, Springer-Verlag, 1982.
    • (1982) Grad. Text in Math. , vol.76
    • Iitaka, S.1
  • 30
    • 0005205668 scopus 로고
    • Elliptic fibre spaces over compact surfaces
    • K1
    • [K1] Kawai, S., Elliptic fibre spaces over compact surfaces, Comment. Math. Univ. St. Paul., 15 (1967), 119-138.
    • (1967) Comment. Math. Univ. St. Paul. , vol.15 , pp. 119-138
    • Kawai, S.1
  • 31
    • 0002836187 scopus 로고
    • Kodaira dimension of certain algebraic fiber spaces
    • K2, IA
    • [K2] Kawamata, Y., Kodaira dimension of certain algebraic fiber spaces, J. Fac. Sci. Univ. Tokyo, IA 30 (1983), 1-24.
    • (1983) J. Fac. Sci. Univ. Tokyo , vol.30 , pp. 1-24
    • Kawamata, Y.1
  • 32
    • 0001157842 scopus 로고
    • Abundance theorem for minimal threefolds
    • K3
    • [K3] _, Abundance theorem for minimal threefolds, Invent. Math., 108 (1992), 229-246.
    • (1992) Invent. Math. , vol.108 , pp. 229-246
  • 33
    • 0000526845 scopus 로고
    • Introduction to the minimal model problem
    • K4, Algebraic Geometry Sendai 1985, Kinokuniya and North-Holland
    • [K4] Kawamata, Y., Matsuda, K. and Matsuki, K., Introduction to the minimal model problem, in Algebraic Geometry Sendai 1985, Adv. Stud. Pure Math., 10, Kinokuniya and North-Holland, 1987, pp. 283-360.
    • (1987) Adv. Stud. Pure Math. , vol.10 , pp. 283-360
    • Kawamata, Y.1    Matsuda, K.2    Matsuki, K.3
  • 34
    • 21844498164 scopus 로고
    • A criterion for algebraicity of certain analytic elliptic surfaces
    • K5
    • [K5] Kawazoe, M., A criterion for algebraicity of certain analytic elliptic surfaces, Math. Ann., 303 (1995), 771-779.
    • (1995) Math. Ann. , vol.303 , pp. 771-779
    • Kawazoe, M.1
  • 36
    • 0000740491 scopus 로고
    • On complex analytic surfaces II, III
    • K7
    • [K7] Kodaira, K., On complex analytic surfaces II, III, Ann. of Math., 77 (1963), 563-626, ibid., 78 (1963), 1-40.
    • (1963) Ann. of Math. , vol.77 , pp. 563-626
    • Kodaira, K.1
  • 37
    • 0001966167 scopus 로고
    • [K7] Kodaira, K., On complex analytic surfaces II, III, Ann. of Math., 77 (1963), 563-626, ibid., 78 (1963), 1-40.
    • (1963) Ann. of Math. , vol.78 , pp. 1-40
  • 38
    • 0000847547 scopus 로고
    • On the structure of compact complex analytic surfaces, I
    • K8
    • [K8] _, On the structure of compact complex analytic surfaces, I, Amer. J. Math., 86 (1964), 751-798.
    • (1964) Amer. J. Math. , vol.86 , pp. 751-798
  • 39
    • 0001402488 scopus 로고
    • Higher direct images of dualizing sheaves II
    • K9
    • [K9] Kollár, J., Higher direct images of dualizing sheaves II, Ann. of Math., 124 (1986), 171-202.
    • (1986) Ann. of Math. , vol.124 , pp. 171-202
    • Kollár, J.1
  • 40
    • 0001867448 scopus 로고
    • Moduli of parabolic stable sheaves
    • M1
    • [M1] Maruyama, M. and Yokogawa, K., Moduli of parabolic stable sheaves, Math. Ann., 293 (1992), 77-99.
    • (1992) Math. Ann. , vol.293 , pp. 77-99
    • Maruyama, M.1    Yokogawa, K.2
  • 41
    • 0642332525 scopus 로고
    • Moduli of vector bundles on curves with parabolic structures
    • M2
    • [M2] Mehta, V. and Seshadri, C., Moduli of vector bundles on curves with parabolic structures, Math. Ann., 248 (1980), 205-239.
    • (1980) Math. Ann. , vol.248 , pp. 205-239
    • Mehta, V.1    Seshadri, C.2
  • 42
    • 0004287681 scopus 로고
    • Étale cohomology
    • M3, Princeton Univ. Press
    • [M3] Milne, J., Étale cohomology, Princeton Math. Ser., 33, Princeton Univ. Press, 1980.
    • (1980) Princeton Math. Ser. , vol.33
    • Milne, J.1
  • 43
    • 0002195974 scopus 로고
    • Smooth models for elliptic threefolds
    • M4, The Birational Geometry of Degenerations, Birkhäuser
    • [M4] Miranda, R., Smooth models for elliptic threefolds, in The Birational Geometry of Degenerations, Progr. Math., 29, Birkhäuser, 1983, pp. 85-113.
    • (1983) Progr. Math. , vol.29 , pp. 85-113
    • Miranda, R.1
  • 44
    • 0000744421 scopus 로고
    • Extension theorem for Kähler metrics
    • M5
    • [M5] Miyaoka, Y., Extension theorem for Kähler metrics, Proc. Japan Acad., 50 (1974), 407-410.
    • (1974) Proc. Japan Acad. , vol.50 , pp. 407-410
    • Miyaoka, Y.1
  • 45
    • 0005228622 scopus 로고
    • Kähler metrics on elliptic surfaces
    • M6
    • [M6] _, Kähler metrics on elliptic surfaces, Proc. Japan Acad., 50 (1974), 533-536.
    • (1974) Proc. Japan Acad. , vol.50 , pp. 533-536
  • 46
    • 0001330370 scopus 로고
    • Threefolds whose canonical bundles are not numerically effective
    • M7
    • [M7] Mori, S., Threefolds whose canonical bundles are not numerically effective, Ann. of Math., 116 (1982), 133-176.
    • (1982) Ann. of Math. , vol.116 , pp. 133-176
    • Mori, S.1
  • 47
    • 84968510959 scopus 로고
    • Flip theorem and the existence of minimal models for 3-folds
    • M8
    • [M8] _, Flip theorem and the existence of minimal models for 3-folds, J. AMS., 1 (1988), 117-253.
    • (1988) J. AMS. , vol.1 , pp. 117-253
  • 48
    • 0001286796 scopus 로고
    • Torsion freeness of higher direct images of canonical bundle
    • M9
    • [M9] Moriwaki, A., Torsion freeness of higher direct images of canonical bundle, Math. Ann., 276 (1987), 385-398.
    • (1987) Math. Ann. , vol.276 , pp. 385-398
    • Moriwaki, A.1
  • 49
    • 0000055514 scopus 로고
    • Relative compactification of the Néron model and its application
    • N1, Iwanami Shoten and Cambridge Univ. Press
    • [N1] Nakamura, I., Relative compactification of the Néron model and its application, in Complex Analysis and Algebraic Geometry, Iwanami Shoten and Cambridge Univ. Press, 1977, pp. 207-225.
    • (1977) Complex Analysis and Algebraic Geometry , pp. 207-225
    • Nakamura, I.1
  • 50
    • 0000243551 scopus 로고
    • The lower semi-continuity of the plurigenera of complex varieties
    • N2, Algebraic Geometry Sendai 1985, Kinokuniya and North-Holland
    • [N2] Nakayama, N., The lower semi-continuity of the plurigenera of complex varieties, in Algebraic Geometry Sendai 1985, Adv. Stud. Pure Math., 10, Kinokuniya and North-Holland, 1987, pp. 551-590.
    • (1987) Adv. Stud. Pure Math. , vol.10 , pp. 551-590
    • Nakayama, N.1
  • 52
    • 85157189646 scopus 로고    scopus 로고
    • Local structure of an elliptic fibration
    • N4, Preprint RIMS Kyoto Univ.
    • [N4] _, Local structure of an elliptic fibration, Preprint RIMS Kyoto Univ. 1999, to appear in Adv. Stud. Pure Math.
    • (1999) Adv. Stud. Pure Math.
  • 55
    • 51249163511 scopus 로고
    • Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
    • N7
    • [N7] Néron, A., Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, Publ. Math. IHES., 21 (1964).
    • (1964) Publ. Math. IHES. , vol.21
    • Néron, A.1
  • 56
    • 0005573414 scopus 로고
    • Torus embeddings and applications (Based on joint work with Katsuya Miyake)
    • O1, Springer-Verlag
    • [O1] Oda, T., Torus embeddings and applications (Based on joint work with Katsuya Miyake), Tata Inst. Fund. Res. 58, Springer-Verlag, 1978.
    • (1978) Tata Inst. Fund. Res. , vol.58
    • Oda, T.1
  • 57
    • 85157101007 scopus 로고
    • O2, Kinokuniya
    • [O2] _, Convex Bodies and Algebraic Geometry (Japanese), Kinokuniya 1985; English version: Convex Bodies and Algebraic Geometry - An introduction to the Theory of Toric Varieties, Ergeb. Math. Grenzgeb. (3) 15, Springer-Verlag, 1988.
    • (1985) Convex Bodies and Algebraic Geometry (Japanese)
  • 58
    • 0003552105 scopus 로고
    • Convex bodies and algebraic geometry - An introduction to the theory of toric varieties
    • English version, Springer-Verlag
    • [O2] _, Convex Bodies and Algebraic Geometry (Japanese), Kinokuniya 1985; English version: Convex Bodies and Algebraic Geometry - An introduction to the Theory of Toric Varieties, Ergeb. Math. Grenzgeb. (3) 15, Springer-Verlag, 1988.
    • (1988) Ergeb. Math. Grenzgeb. , vol.15 , Issue.3
  • 59
    • 0000598601 scopus 로고
    • Cohomology of abelian varieties over function fields
    • O3
    • [O3] Ogg, A., Cohomology of abelian varieties over function fields, Ann. of Math., 76 (1962), 185-212.
    • (1962) Ann. of Math. , vol.76 , pp. 185-212
    • Ogg, A.1
  • 61
    • 0000747997 scopus 로고
    • Mixed hodge modules
    • S1
    • [S1] Saito, M., Mixed Hodge modules, Publ. RIMS, Kyoto Univ., 26 (1990), 221-333.
    • (1990) Publ. RIMS, Kyoto Univ. , vol.26 , pp. 221-333
    • Saito, M.1
  • 62
    • 0005201610 scopus 로고
    • Hodge conjecture and mixed motives. I
    • S2, Complex geometry and Lie theory (Sundance, UT, 1989), Amer. Math. Soc.
    • [S2] _, Hodge conjecture and mixed motives. I, in Complex geometry and Lie theory (Sundance, UT, 1989), Proc. Sympos. Pure Math., 53, Amer. Math. Soc. 1991, pp. 283-303.
    • (1991) Proc. Sympos. Pure Math. , vol.53 , pp. 283-303
  • 63
    • 0001062515 scopus 로고
    • Variation of hodge structure: The singularities of the period mapping
    • S3
    • [S3] Schmid, W., Variation of Hodge structure: The singularities of the Period Mapping, Invent. Math., 22 (1973), 211-319.
    • (1973) Invent. Math. , vol.22 , pp. 211-319
    • Schmid, W.1
  • 64
    • 0005211676 scopus 로고
    • Principal homogeneous spaces over function fields
    • S4
    • [S4] Shafarevich, I., Principal homogeneous spaces over function fields, AMS Transl., 37 (1964), 85-113.
    • (1964) AMS Transl. , vol.37 , pp. 85-113
    • Shafarevich, I.1
  • 65
    • 0003284855 scopus 로고
    • Profinite groups, arithmetic, and geometry
    • S5, Princeton Univ. Press
    • [S5] Shatz, S., Profinite groups, Arithmetic, and Geometry, Ann. of Math. Stud. 67, Princeton Univ. Press, 1972.
    • (1972) Ann. of Math. Stud. , vol.67
    • Shatz, S.1
  • 66
    • 85157102971 scopus 로고
    • Automorphic functions, I, II, III
    • S6, (Japanese) Second edition, Algebra, vii. Iwanami Shoten
    • [S6] Shimizu, H., Automorphic functions, I, II, III, (Japanese) Second edition, Iwanami Lectures on Fundamental Math. 8, Algebra, vii. Iwanami Shoten, 1984.
    • (1984) Iwanami Lectures on Fundamental Math. , vol.8
    • Shimizu, H.1
  • 67
    • 0004033695 scopus 로고
    • Introduction to the arithmetic theory of automorphic functions
    • S7, Iwanami Shoten and Princeton Univ. Press
    • [S7] Shimura, G., Introduction to the arithmetic theory of automorphic functions, Publ. Math. Soc. Japan, No. 11, Iwanami Shoten and Princeton Univ. Press, 1971.
    • (1971) Publ. Math. Soc. Japan , vol.11
    • Shimura, G.1
  • 68
    • 84972536382 scopus 로고
    • On elliptic modular surfaces
    • S8
    • [S8] Shioda, T., On elliptic modular surfaces, J. Math. Soc. Japan, 24 (1972), 20-59.
    • (1972) J. Math. Soc. Japan , vol.24 , pp. 20-59
    • Shioda, T.1
  • 69
    • 0038240561 scopus 로고
    • On the conjecture of birch and swinnerton-dyer and a geometric analog
    • T
    • [T] Tate, J., On the conjecture of Birch and Swinnerton-Dyer and a geometric analog, Sem. Bourbaki 1965/66 n°306; also in Dix exposés sur cohomologie des schémas, North-Holland, 1968, pp. 189-214.
    • (1965) Sem. Bourbaki , vol.306
    • Tate, J.1
  • 70
    • 85157096406 scopus 로고
    • North-Holland
    • [T] Tate, J., On the conjecture of Birch and Swinnerton-Dyer and a geometric analog, Sem. Bourbaki 1965/66 n°306; also in Dix exposés sur cohomologie des schémas, North-Holland, 1968, pp. 189-214.
    • (1968) Dix exposés sur cohomologie des schémas , pp. 189-214
  • 71
    • 0001750325 scopus 로고
    • Classification of algebraic varieties, I
    • U1
    • [U1] Ueno, K., Classification of algebraic varieties, I, Compo. Math., 27 (1973), 277-342.
    • (1973) Compo. Math. , vol.27 , pp. 277-342
    • Ueno, K.1
  • 72
    • 0005233965 scopus 로고
    • Degeneration of elliptic surfaces and certain non-Kähler manifolds
    • U2, Classification of algebraic and analytic manifolds, Birkhäuser
    • [U2] _, Degeneration of elliptic surfaces and certain non-Kähler manifolds, in Classification of algebraic and analytic manifolds, Progr. Math., 39, Birkhäuser, 1983, pp. 545-556.
    • (1983) Progr. Math. , vol.39 , pp. 545-556
  • 73
    • 0000907686 scopus 로고
    • Stabilité de la classe des variétés kähleriennes pour les certains morphisms propres
    • V1
    • [V1] Varouchas, J., Stabilité de la classe des variétés kähleriennes pour les certains morphisms propres, Invent. Math., 77 (1984), 117-128.
    • (1984) Invent. Math. , vol.77 , pp. 117-128
    • Varouchas, J.1
  • 74
    • 0003250321 scopus 로고    scopus 로고
    • Dualité dans la cohomologie des espaces localement compacts
    • V2, 18e année 65/66
    • [V2] Verdier, J.-L., Dualité dans la cohomologie des espaces localement compacts, Séminaire Bourbaki, 18e année 65/66, no. 300.
    • Séminaire Bourbaki , vol.300
    • Verdier, J.-L.1
  • 75
    • 0001284927 scopus 로고
    • 2 cohomology in the Poincaré metric
    • Z
    • 2 cohomology in the Poincaré metric, Ann. of Math., 109 (1979), 415-476.
    • (1979) Ann. of Math. , vol.109 , pp. 415-476
    • Zucker, S.1


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