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Volumn 10, Issue 1, 2001, Pages 37-62

The Abel-Jacobi map of a moduli component of vector bundles on the cubic threefold

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EID: 0035583094     PISSN: 10563911     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (62)

References (42)
  • 1
    • 0040599169 scopus 로고
    • 4
    • Algebraic threefolds, Proc. 2nd 1981 Sess. C.I.M.E., Varenna/Italy 1981, Springer-Verlag, Berlin
    • 4, In: Algebraic threefolds, Proc. 2nd 1981 Sess. C.I.M.E., Varenna/Italy 1981, Lecture Notes in Math. 947, Springer-Verlag, Berlin, 1982, 190-208.
    • (1982) Lecture Notes in Math. , vol.947 , pp. 190-208
    • Beauville, A.1
  • 3
    • 0011281759 scopus 로고
    • The Abel-Jacobi isomorphism for the sextic double solid
    • Ceresa, G. and Verra, A., The Abel-Jacobi isomorphism for the sextic double solid, Pacific J. Math. 124 (1986), 85-105.
    • (1986) Pacific J. Math. , vol.124 , pp. 85-105
    • Ceresa, G.1    Verra, A.2
  • 4
    • 0001539463 scopus 로고
    • The intermediate Jacobian of the cubic threefold
    • Clemens, C. H. and Griffiths, P. A., The intermediate Jacobian of the cubic threefold, Annals of Math. 95 (1972), 281-356.
    • (1972) Annals of Math. , vol.95 , pp. 281-356
    • Clemens, C.H.1    Griffiths, P.A.2
  • 5
    • 0039413815 scopus 로고
    • Sur le théorème de Torelli pour les solides doubles quartiques
    • Debarre, O., Sur le théorème de Torelli pour les solides doubles quartiques, Compositio Math. 73 (1990), 161-187.
    • (1990) Compositio Math. , vol.73 , pp. 161-187
    • Debarre, O.1
  • 6
    • 0347217562 scopus 로고
    • Le théorème de Torelli pour les intersections de trois quadriques
    • Debarre, O., Le théorème de Torelli pour les intersections de trois quadriques, Invent. Math. 95 (1989), 507-528.
    • (1989) Invent. Math. , vol.95 , pp. 507-528
    • Debarre, O.1
  • 7
    • 0001886383 scopus 로고    scopus 로고
    • Spectral covers, algebraically completely integrable, Hamiltonian systems, and moduli of bundles
    • Francaviglia, M. et al. (eds.), Integrable systems and quantum groups, CIME Lectures, Italy, June 14-22, 1993, Springer-Verlag, Berlin
    • Donagi, R. and Markman, E., Spectral covers, algebraically completely integrable, Hamiltonian systems, and moduli of bundles, In: Francaviglia, M. et al. (eds.), Integrable systems and quantum groups, CIME Lectures, Italy, June 14-22, 1993. Lecture Notes in Math. 1620, Springer-Verlag, Berlin, 1996, 1-119.
    • (1996) Lecture Notes in Math. , vol.1620 , pp. 1-119
    • Donagi, R.1    Markman, E.2
  • 9
    • 0000954867 scopus 로고
    • Periods of integrals on algebraic manifolds I, II, III
    • Griffiths, P. A., Periods of integrals on algebraic manifolds I, II, III, Amer. J. Math. 90 (1968), 568-626, ibid, 805-865, Inst. Hautes Études Sci. Publ. Math. 38 (1970), 125-180.
    • (1968) Amer. J. Math. , vol.90 , pp. 568-626
    • Griffiths, P.A.1
  • 10
    • 0345956259 scopus 로고    scopus 로고
    • Griffiths, P. A., Periods of integrals on algebraic manifolds I, II, III, Amer. J. Math. 90 (1968), 568-626, ibid, 805-865, Inst. Hautes Études Sci. Publ. Math. 38 (1970), 125-180.
    • Amer. J. Math. , pp. 805-865
  • 11
    • 0003252785 scopus 로고
    • Griffiths, P. A., Periods of integrals on algebraic manifolds I, II, III, Amer. J. Math. 90 (1968), 568-626, ibid, 805-865, Inst. Hautes Études Sci. Publ. Math. 38 (1970), 125-180.
    • (1970) Inst. Hautes Études Sci. Publ. Math. , vol.38 , pp. 125-180
  • 13
    • 0003250208 scopus 로고
    • Techniques de construction et théorèmes d'existence en géométrie algébrique. IV: Les schémas de Hilbert
    • 1961
    • Grothendieck, A., Techniques de construction et théorèmes d'existence en géométrie algébrique. IV: Les schémas de Hilbert, Sém. Bourbaki 13 (1960/61), No. 221 (1961).
    • (1960) Sém. Bourbaki , vol.13 , Issue.221
    • Grothendieck, A.1
  • 14
    • 0003196712 scopus 로고
    • Revêtements étales et groupe fondamental
    • Springer, Heidelberg
    • Grothendieck, A. et al., Revêtements étales et groupe fondamental, Lecture Notes in Math. 224, Springer, Heidelberg, 1971.
    • (1971) Lecture Notes in Math. , vol.224
    • Grothendieck, A.1
  • 16
    • 0003105794 scopus 로고
    • Smoothing algebraic space curves
    • Algebraic Geometry, Sitges (Barcelona), 1983. Springer, Berlin-New York
    • Hartshorne, R. and Hirschowitz, A., Smoothing algebraic space curves, In: Algebraic Geometry, Sitges (Barcelona), 1983, Lecture Notes in Math. 1124. Springer, Berlin-New York, 1985, 98-131.
    • (1985) Lecture Notes in Math. , vol.1124 , pp. 98-131
    • Hartshorne, R.1    Hirschowitz, A.2
  • 17
    • 0003262673 scopus 로고
    • Projective geometry of elliptic curves
    • Hulek, K., Projective geometry of elliptic curves, Astérisque 137 (1986).
    • (1986) Astérisque , vol.137
    • Hulek, K.1
  • 18
    • 0347217560 scopus 로고
    • Geometry of the Fano threefold of degree 10 of the first type
    • Curves, Jacobians and Abelian Varieties (Amherst, MA, 1990)
    • Iliev, A., Geometry of the Fano threefold of degree 10 of the first type, In: Curves, Jacobians and Abelian Varieties (Amherst, MA, 1990), Contemp. Math. 136 (1992), 209-254.
    • (1992) Contemp. Math. , vol.136 , pp. 209-254
    • Iliev, A.1
  • 19
    • 31944437305 scopus 로고
    • Fano threefolds I, II
    • Iskovskih, V. A., Fano threefolds I, II, Math. USSR Izvestija 11 (1977), 485-527, 12 (1978), 469-506.
    • (1977) Math. USSR Izvestija , vol.11 , pp. 485-527
    • Iskovskih, V.A.1
  • 20
    • 31944449398 scopus 로고
    • Iskovskih, V. A., Fano threefolds I, II, Math. USSR Izvestija 11 (1977), 485-527, 12 (1978), 469-506.
    • (1978) Math. USSR Izvestija , vol.12 , pp. 469-506
  • 21
    • 0000480499 scopus 로고
    • Birational automorphisms of three-dimensional algebraic varieties
    • Iskovskih, V. A., Birational automorphisms of three-dimensional algebraic varieties, J. Soviet Math. 13 (1980), 815-868.
    • (1980) J. Soviet Math. , vol.13 , pp. 815-868
    • Iskovskih, V.A.1
  • 22
    • 0346587450 scopus 로고
    • Simple vector bundles over symplectic Kaehler manifolds
    • Kobayashi, S., Simple vector bundles over symplectic Kaehler manifolds, Proc. Japan Acad., Ser. A 62 (1986), 21-24.
    • (1986) Proc. Japan Acad., Ser. A , vol.62 , pp. 21-24
    • Kobayashi, S.1
  • 23
    • 0003266115 scopus 로고    scopus 로고
    • Rational Curves on Algebraic Varieties
    • Springer
    • Kollár, J., Rational Curves on Algebraic Varieties, Ergebnisse der Math. 3. Folge, Bd. 32, Springer, 1996.
    • (1996) Ergebnisse der Math. 3. Folge , vol.32
    • Kollár, J.1
  • 24
    • 0347217561 scopus 로고
    • The Abel-Jacobi mapping for the quartic threefold
    • Letizia, M., The Abel-Jacobi mapping for the quartic threefold, Invent. Math. 75 (1984), 477-492.
    • (1984) Invent. Math. , vol.75 , pp. 477-492
    • Letizia, M.1
  • 25
    • 0042746915 scopus 로고
    • Abel-Jacobi isogeny for the Fano threefold of genus 6
    • Yaroslavl State Fed. Inst., Yaroslavl
    • Logachev, D. Yu., Abel-Jacobi isogeny for the Fano threefold of genus 6 (Russian), In: Constructive Algebraic Geometry, Yaroslavl State Fed. Inst., Yaroslavl, 1982, pp. 67-76.
    • (1982) Constructive Algebraic Geometry , pp. 67-76
    • Logachev, D.Yu.1
  • 27
    • 0002235936 scopus 로고
    • Moduli of stable sheaves I, II
    • Maruyama, M., Moduli of stable sheaves I, II, J. Math. Kyoto Univ. 17 (1977), 91-126; ibid, 18 (1978), 557-614.
    • (1977) J. Math. Kyoto Univ. , vol.17 , pp. 91-126
    • Maruyama, M.1
  • 28
    • 0000370638 scopus 로고
    • Maruyama, M., Moduli of stable sheaves I, II, J. Math. Kyoto Univ. 17 (1977), 91-126; ibid, 18 (1978), 557-614.
    • (1978) J. Math. Kyoto Univ. , vol.18 , pp. 557-614
  • 29
    • 0000387711 scopus 로고
    • Protective manifolds with ample tangent bundles
    • Mori, S., Protective manifolds with ample tangent bundles, Ann. of Math. 110 (1979), 593-606.
    • (1979) Ann. of Math. , vol.110 , pp. 593-606
    • Mori, S.1
  • 30
    • 0000694645 scopus 로고
    • Symplectic structure of the moduli of sheaves on an abelian or K3 surface
    • Mukai, S., Symplectic structure of the moduli of sheaves on an abelian or K3 surface, Invent. Math. 77 (1984), 101-116.
    • (1984) Invent. Math. , vol.77 , pp. 101-116
    • Mukai, S.1
  • 31
    • 0001472071 scopus 로고
    • Lectures on curves on an algebraic surface
    • Princeton
    • Mumford, D., Lectures on curves on an algebraic surface, Annals of Math. Studies, Vol. 59, Princeton, 1966.
    • (1966) Annals of Math. Studies , vol.59
    • Mumford, D.1
  • 32
    • 0002085536 scopus 로고
    • Varieties defined by quadratic equations
    • Questions on Algebraic Varieties, Rome
    • Mumford, D., Varieties defined by quadratic equations, In: Questions on Algebraic Varieties, CIME Lecture Notes, Edizioni Cremonese, Rome, 1970, pp. 29-100.
    • (1970) CIME Lecture Notes, Edizioni Cremonese , pp. 29-100
    • Mumford, D.1
  • 33
    • 0003213932 scopus 로고
    • Vector Bundles on Complex Protective Spaces
    • Birkhäuser
    • Okonek, C., Schneider M., and Spindler, H., Vector Bundles on Complex Protective Spaces, Progress in Math., Bd. 3, Birkhäuser, 1980.
    • (1980) Progress in Math. , vol.3
    • Okonek, C.1    Schneider, M.2    Spindler, H.3
  • 34
    • 0003370634 scopus 로고    scopus 로고
    • Chapters on algebraic surfaces
    • Kollár, János (ed.), Complex algebraic geometry. Lectures of a summer program, Park City, UT, 1993. Providence, RI: American Mathematical Society
    • Reid, M., Chapters on algebraic surfaces, In: Kollár, János (ed.), Complex algebraic geometry. Lectures of a summer program, Park City, UT, 1993. Providence, RI: American Mathematical Society, IAS/Park City Math. Ser. 3, 1997, 5-159.
    • (1997) IAS/Park City Math. Ser. , vol.3 , pp. 5-159
    • Reid, M.1
  • 36
    • 51249163404 scopus 로고
    • Moduli of representations of the fundamental group of a smooth protective variety I
    • Simpson, C. T., Moduli of representations of the fundamental group of a smooth protective variety I, Inst. Hautes Études Sci. Publ. Math. 79 (1994), 47-129.
    • (1994) Inst. Hautes Études Sci. Publ. Math. , vol.79 , pp. 47-129
    • Simpson, C.T.1
  • 37
    • 0347293168 scopus 로고
    • The Fano surface of the Veronese double cone
    • Tikhomirov, A. S., The Fano surface of the Veronese double cone, Math. USSR, Izv. 19 (1982), 377-443.
    • (1982) Math. USSR, Izv. , vol.19 , pp. 377-443
    • Tikhomirov, A.S.1
  • 39
    • 0346587511 scopus 로고
    • 4 and Torelli theorems for Fano surfaces and cubics
    • 4 and Torelli theorems for Fano surfaces and cubics, Izv. USSR Math. 35 (1971), 498-529.
    • (1971) Izv. USSR Math. , vol.35 , pp. 498-529
    • Tyurin, A.N.1
  • 40
    • 84972567504 scopus 로고
    • Sur la jacobienne intermédiaire du double solide d'indice deux
    • Voisin, C., Sur la jacobienne intermédiaire du double solide d'indice deux, Duke Math. J. 57 (1988), 629-646.
    • (1988) Duke Math. J. , vol.57 , pp. 629-646
    • Voisin, C.1
  • 41
    • 0347847590 scopus 로고
    • Relations dans l'anneau de Chow de la surface des coniques des variétés de Fano, et applications
    • Voisin, C., Relations dans l'anneau de Chow de la surface des coniques des variétés de Fano, et applications, Amer. J. Math. 112 (1990), 877-898.
    • (1990) Amer. J. Math. , vol.112 , pp. 877-898
    • Voisin, C.1
  • 42
    • 0003279344 scopus 로고
    • Abel-Jacobi isogenies for certain types of Fano threefolds
    • Amsterdam
    • Welters, G. E., Abel-Jacobi isogenies for certain types of Fano threefolds, Mathematical Centre Tracts 141, Amsterdam, 1981.
    • (1981) Mathematical Centre Tracts , vol.141
    • Welters, G.E.1


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