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Volumn 81, Issue 3, 1996, Pages 2599-2630

Mirror symmetry for lattice polarized K3 surfaces

(1)  Dolgachev, I V a  

a NONE

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EID: 33645946188     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02362332     Document Type: Article
Times cited : (340)

References (42)
  • 1
    • 0001789468 scopus 로고
    • Critical points of smooth functions
    • Vancouver
    • V. Arnold, "Critical points of smooth functions," In: Proc. I.C.M., Vancouver (1974), pp. 18-39.
    • (1974) Proc. I.C.M. , pp. 18-39
    • Arnold, V.1
  • 4
    • 0003640696 scopus 로고
    • Ergenbnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Springer-Verlag
    • W. Barth, C. Peters, and A. Van de Ven, Compact Complex Surfaces, Ergenbnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Band 4, Springer-Verlag (1984).
    • (1984) Compact Complex Surfaces , vol.4
    • Barth, W.1    Peters, C.2    Van De Ven, A.3
  • 5
    • 0000986417 scopus 로고
    • Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties
    • V. Batyrev, "Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties," J. Alg. Geom., 3, 493-535 (1994).
    • (1994) J. Alg. Geom. , vol.3 , pp. 493-535
    • Batyrev, V.1
  • 9
    • 4244118453 scopus 로고
    • Integral quadratic forms: Applications to algebraic geometry
    • No. 611; Asterisque, Soc. Math. France
    • I. Dolgachev, "Integral quadratic forms: applications to algebraic geometry," In: Sem. Bourbaki, 1982/ 83, No. 611; Asterisque, 105/106, Soc. Math. France, 251-275.
    • (1982) Sem. Bourbaki , vol.105-106 , pp. 251-275
    • Dolgachev, I.1
  • 11
    • 0004085658 scopus 로고
    • (Ed. S.-T. Yau), Int. Press Co., Hong Kong
    • Essays on Mirror Symmetry (ed. S.-T. Yau), Int. Press Co., Hong Kong (1992).
    • (1992) Essays on Mirror Symmetry
  • 13
    • 50949130277 scopus 로고
    • Géometrie des surfaces K3: Modules et périodes
    • Soc. Math. France
    • "Géometrie des surfaces K3: modules et périodes," Astérisque, 126, Soc. Math. France (1985).
    • (1985) Astérisque , vol.126
  • 14
    • 0002034133 scopus 로고
    • Symmetries of the moduli space of (2,2) superstring vacua
    • A. Giveon and D.-J. Smit, "Symmetries of the moduli space of (2,2) superstring vacua," Nucl. Phys. B, 349, 168-206 (1991).
    • (1991) Nucl. Phys. B , vol.349 , pp. 168-206
    • Giveon, A.1    Smit, D.-J.2
  • 15
    • 0000954867 scopus 로고
    • Periods of integrals on algebraic manifolds, I, II
    • Ph. Griffiths, "Periods of integrals on algebraic manifolds, I, II," Amer. J. Math., 90, 568-626, 805-865 (1968).
    • (1968) Amer. J. Math. , vol.90 , pp. 568-626
    • Griffiths, Ph.1
  • 17
    • 84972567288 scopus 로고
    • On Witt's theorem for unimodular quadratic forms
    • D. James, "On Witt's theorem for unimodular quadratic forms," Pac. J. Math., 26:2, 303-316 (1968).
    • (1968) Pac. J. Math. , vol.2-26 , pp. 303-316
    • James, D.1
  • 23
    • 0007894381 scopus 로고
    • Criticality, catastrophes, and compactifications
    • World Scientific
    • E. Martinec, "Criticality, catastrophes, and compactifications, " In: Physics and Mathematics of Strings, World Scientific (1990), pp. 389-433.
    • (1990) Physics and Mathematics of Strings , pp. 389-433
    • Martinec, E.1
  • 24
    • 0000269757 scopus 로고
    • On the 3-dimensional Brieskorn manifolds
    • Princeton Univ. Press
    • J. Milnor, "On the 3-dimensional Brieskorn manifolds," In: Knots, Groups and 3-Manifolds, Ann. Math. Stud., Vol. 84, Princeton Univ. Press (1975), pp. 175-224.
    • (1975) Knots, Groups and 3-Manifolds, Ann. Math. Stud. , vol.84 , pp. 175-224
    • Milnor, J.1
  • 25
    • 0001468671 scopus 로고
    • On K3 surfaces with large Picard number
    • D. Morrison, "On K3 surfaces with large Picard number," Invent. Math., 75, 105-121 (1984).
    • (1984) Invent. Math. , vol.75 , pp. 105-121
    • Morrison, D.1
  • 26
    • 84968504268 scopus 로고
    • Mirror symmetry and rational curves on quintic 3-folds: A guide for mathematicians
    • D. Morrison, "Mirror symmetry and rational curves on quintic 3-folds: A guide for mathematicians," J. Amer. Math. Soc., 6, 223-247 (1993).
    • (1993) J. Amer. Math. Soc. , vol.6 , pp. 223-247
    • Morrison, D.1
  • 27
    • 0001531434 scopus 로고
    • Mirror symmetry of the K3 surface
    • M. Nagura and K. Sugiyama, "Mirror symmetry of the K3 surface," Int. J. Mod. Phys. A, 10, No. 2, 233-252 (1995).
    • (1995) Int. J. Mod. Phys. A , vol.10 , Issue.2 , pp. 233-252
    • Nagura, M.1    Sugiyama, K.2
  • 28
    • 0001663224 scopus 로고
    • Periods of Enriques surfaces
    • Y. Namikawa, "Periods of Enriques surfaces," Math. Ann., 270, 201-222 (1985).
    • (1985) Math. Ann. , vol.270 , pp. 201-222
    • Namikawa, Y.1
  • 29
    • 0037507438 scopus 로고
    • Abelian covers of quasihomogeneous singularities
    • A.M.S., Providence
    • W. Neumann, "Abelian covers of quasihomogeneous singularities," In: Singularities, Proc. Symp. Pure Math., Vol. 40, Part 2, A.M.S., Providence (1983), pp. 233-243.
    • (1983) Singularities, Proc. Symp. Pure Math. , vol.40 , Issue.PART 2 , pp. 233-243
    • Neumann, W.1
  • 30
    • 0001928107 scopus 로고
    • Finite groups of automorphisms of Kähler K3 surfaces
    • V. Nikulin, "Finite groups of automorphisms of Kähler K3 surfaces," In: Tr. Mosk. Mat. Obshch., Vol. 38 (1980), pp. 71-135.
    • (1980) Tr. Mosk. Mat. Obshch. , vol.38 , pp. 71-135
    • Nikulin, V.1
  • 31
    • 0001482387 scopus 로고
    • Integral quadratic forms and some of its geometric applications
    • V. Nikulin, "Integral quadratic forms and some of its geometric applications," Izv. Akad. Nauk SSSR. Ser. Mat., 43, 103-167 (1979).
    • (1979) Izv. Akad. Nauk SSSR. Ser. Mat. , vol.43 , pp. 103-167
    • Nikulin, V.1
  • 32
    • 33747480526 scopus 로고
    • On rational maps between K3 surfaces
    • World Sci. Publ.
    • V. Nikulin, "On rational maps between K3 surfaces," In: Constantin Caratheodory: An International Tribute, Vol. I, II, World Sci. Publ. (1991), pp. 964-995.
    • (1991) Constantin Caratheodory: An International Tribute , vol.1-2 , pp. 964-995
    • Nikulin, V.1
  • 33
    • 0000968547 scopus 로고
    • A pencil of K3 surfaces related to Apery's recurrence for ζ(3) and Fermi surfaces for potential zero
    • Springer-Verlag
    • C. Peters and J. Stienstra, "A pencil of K3 surfaces related to Apery's recurrence for ζ(3) and Fermi surfaces for potential zero," In: Arithmetics of Complex Manifolds, Lect. Notes Math., Vol. 1399, Springer-Verlag (1989).
    • (1989) Arithmetics of Complex Manifolds, Lect. Notes Math. , vol.1399
    • Peters, C.1    Stienstra, J.2
  • 34
    • 0011504862 scopus 로고
    • Singularités exceptionnelles, la dualité étrange d'Arnold et les surfaces K3
    • H. Pinkham, "Singularités exceptionnelles, la dualité étrange d'Arnold et les surfaces K3" C. R. Acad. Sci. Paris, Ser. A-B, 284, 615-618 (1977).
    • (1977) C. R. Acad. Sci. Paris, Ser. A-B , vol.284 , pp. 615-618
    • Pinkham, H.1
  • 36
    • 0001186561 scopus 로고
    • A mathematical theory of quantum cohomology
    • Y. Ruan and G. Tian, "A mathematical theory of quantum cohomology," Math. Res. Lett., 1, No. 2, 269-278 (1994).
    • (1994) Math. Res. Lett. , vol.1 , Issue.2 , pp. 269-278
    • Ruan, Y.1    Tian, G.2
  • 37
    • 0040554206 scopus 로고
    • On the compactification of moduli spaces for algebraic K3 surfaces
    • F. Scattone, "On the compactification of moduli spaces for algebraic K3 surfaces," Mem. A.M.S., 70, No. 374 (1987).
    • (1987) Mem. A.M.S. , vol.70 , Issue.374
    • Scattone, F.1
  • 39
    • 4243979291 scopus 로고
    • Lattices and K3 surfaces of degree 6
    • H. Sterk, "Lattices and K3 surfaces of degree 6," Lin. Alg. Appl., 226-228, 297-309 (1995).
    • (1995) Lin. Alg. Appl. , pp. 226-228
    • Sterk, H.1
  • 41
    • 0001360882 scopus 로고
    • Miroirs et involutions sur les surfaces K3
    • Astérisque, Soc. Math. France
    • C. Voisin, "Miroirs et involutions sur les surfaces K3" In: Journées de Géométrie Algébrique d'Orsay, Vol. 218; Astérisque, Soc. Math. France, 273-323 (1993).
    • (1993) Journées de Géométrie Algébrique d'Orsay , vol.218 , pp. 273-323
    • Voisin, C.1
  • 42
    • 84972576382 scopus 로고
    • Hypersurface simple K3 singularities
    • T. Yonemura, "Hypersurface simple K3 singularities," Tôhoku Math. J., 42, 351-380 (1990).
    • (1990) Tôhoku Math. J. , vol.42 , pp. 351-380
    • Yonemura, T.1


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