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Volumn 55, Issue 2, 2007, Pages 355-394

Modular invariants for lattice polarized K3 surfaces

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EID: 36248957126     PISSN: 00262285     EISSN: None     Source Type: Journal    
DOI: 10.1307/mmj/1187646999     Document Type: Article
Times cited : (57)

References (36)
  • 1
    • 0031581019 scopus 로고    scopus 로고
    • Point-like instantons in K3 orbifolds
    • P. Aspinwall and D. Morrison, Point-like instantons in K3 orbifolds, Nuclear Phys. B 503 (1997), 533-564.
    • (1997) Nuclear Phys. B , vol.503 , pp. 533-564
    • Aspinwall, P.1    Morrison, D.2
  • 4
    • 0004069043 scopus 로고    scopus 로고
    • 2nd ed, Grundlehren Math. Wiss, 302, Springer-Verlag, Berlin
    • C. Birkenhake and H. Lange, Complex abelian varieties, 2nd ed., Grundlehren Math. Wiss., 302, Springer-Verlag, Berlin, 2004.
    • (2004) Complex abelian varieties
    • Birkenhake, C.1    Lange, H.2
  • 5
    • 0001884221 scopus 로고    scopus 로고
    • P. Candelas and H. Skarke, F-theory, SO(32) and toric geometry, Phys. Lett. B 413 (1997), 63-69.
    • P. Candelas and H. Skarke, F-theory, SO(32) and toric geometry, Phys. Lett. B 413 (1997), 63-69.
  • 6
    • 0001214013 scopus 로고    scopus 로고
    • On the duality between the heterotic string and F-theory in 8 dimensions
    • G. L. Cardoso, G. Curio, D. Lust, and T. Mohaupt, On the duality between the heterotic string and F-theory in 8 dimensions, Phys. Lett. B 389 (1996), 479-484.
    • (1996) Phys. Lett. B , vol.389 , pp. 479-484
    • Cardoso, G.L.1    Curio, G.2    Lust, D.3    Mohaupt, T.4
  • 7
    • 0003272622 scopus 로고    scopus 로고
    • Prolegomena to a middlebrow arithmetic of curves of genus 2
    • London Math. Soc, Cambridge Univ. Press, Cambridge
    • J. W. Cassels and E. W. Flynn, Prolegomena to a middlebrow arithmetic of curves of genus 2, London Math. Soc. Lecture Note Ser., 230, Cambridge Univ. Press, Cambridge, 1996.
    • (1996) Lecture Note Ser , vol.230
    • Cassels, J.W.1    Flynn, E.W.2
  • 8
    • 34547650476 scopus 로고    scopus 로고
    • Heterotic string data and theta functions
    • A. Clingher, Heterotic string data and theta functions, Adv.Theor. Math. Phys. 9 (2005), 173-252.
    • (2005) Adv.Theor. Math. Phys , vol.9 , pp. 173-252
    • Clingher, A.1
  • 9
    • 34547693540 scopus 로고    scopus 로고
    • On K3 surfaces with large complex structure
    • A. Clingher and C. Doran, On K3 surfaces with large complex structure, Adv. Math. 215 (2007).
    • (2007) Adv. Math , vol.215
    • Clingher, A.1    Doran, C.2
  • 10
    • 13844272762 scopus 로고    scopus 로고
    • Mathematics underlying the F-theory/heterotic duality in eight dimensions
    • A. Clingher and J. W. Morgan, Mathematics underlying the F-theory/heterotic duality in eight dimensions, Comm. Math. Phys. 254 (2005), 513-563.
    • (2005) Comm. Math. Phys , vol.254 , pp. 513-563
    • Clingher, A.1    Morgan, J.W.2
  • 11
    • 33645946188 scopus 로고    scopus 로고
    • Mirror symmetry for lattice polarized K3 surfaces
    • I. V. Dolgachev, Mirror symmetry for lattice polarized K3 surfaces, J. Math. Sci. (New York) 81 (1996), 2599-2630.
    • (1996) J. Math. Sci. (New York) , vol.81 , pp. 2599-2630
    • Dolgachev, I.V.1
  • 15
    • 0242275990 scopus 로고    scopus 로고
    • c = 2 rational toroidal conformal field theories via the Gauss product
    • S. Hosono, B. Lian, K. Oguiso, and S.-T. Yau, c = 2 rational toroidal conformal field theories via the Gauss product, Comm. Math. Phys. 241 (2003), 245-286.
    • (2003) Comm. Math. Phys , vol.241 , pp. 245-286
    • Hosono, S.1    Lian, B.2    Oguiso, K.3    Yau, S.-T.4
  • 16
    • 0742288778 scopus 로고    scopus 로고
    • Kummer structures on a K3 surface: An old question of T. Shioda
    • _, Kummer structures on a K3 surface: An old question of T. Shioda, Duke Math. J. 120 (2003), 635-647.
    • (2003) Duke Math. J , vol.120 , pp. 635-647
    • Hosono, S.1    Lian, B.2    Oguiso, K.3    Yau, S.-T.4
  • 17
    • 0038880023 scopus 로고
    • Defining equations of singular K3 surfaces and a notion of isogeny
    • Kyoto, Kinokuniya, Tokyo
    • H. Inose, Defining equations of singular K3 surfaces and a notion of isogeny, Proceedings of the International Symposium on Algebraic Geometry (Kyoto, 1977), pp. 495-502, Kinokuniya, Tokyo, 1978.
    • (1977) Proceedings of the International Symposium on Algebraic Geometry , pp. 495-502
    • Inose, H.1
  • 20
    • 0000740491 scopus 로고
    • On compact analytic surfaces, II
    • _, On compact analytic surfaces, II, Ann. of Math. (2) 77 (1963), 563-626.
    • (1963) Ann. of Math. (2) , vol.77 , pp. 563-626
    • Kodaira, K.1
  • 21
    • 84972570857 scopus 로고
    • Automorphisms of algebraic K3 surfaces which act trivially on Picard groups
    • S. Kondo, Automorphisms of algebraic K3 surfaces which act trivially on Picard groups, J. Math. Soc. Japan 44 (1992), 75-98.
    • (1992) J. Math. Soc. Japan , vol.44 , pp. 75-98
    • Kondo, S.1
  • 22
    • 36249021099 scopus 로고    scopus 로고
    • Personal communication, February
    • A. Kumar, Personal communication, February 2006.
    • (2006)
    • Kumar, A.1
  • 23
    • 84972535780 scopus 로고
    • Families of K3 surfaces
    • A. Mayer, Families of K3 surfaces, Nagoya Math. J. 48 (1972), 1-17.
    • (1972) Nagoya Math. J , vol.48 , pp. 1-17
    • Mayer, A.1
  • 24
    • 0001468671 scopus 로고
    • On K3 surfaces with large Picard number
    • D. Morrison, On K3 surfaces with large Picard number, Invent. Math. 75 (1984), 105-121.
    • (1984) Invent. Math , vol.75 , pp. 105-121
    • Morrison, D.1
  • 25
    • 0030607092 scopus 로고    scopus 로고
    • Compactifications of F-theory on Calabi-Yau threefolds, II
    • D. Morrison and C. Vafa, Compactifications of F-theory on Calabi-Yau threefolds, II, Nuclear Phys. B 476 (1996), 437-469.
    • (1996) Nuclear Phys. B , vol.476 , pp. 437-469
    • Morrison, D.1    Vafa, C.2
  • 27
    • 33646888988 scopus 로고
    • Integral symmetric bilinear forms and some of their applications
    • _, Integral symmetric bilinear forms and some of their applications, Math. USSR Izv. 14 (1980), 103-167.
    • (1980) Math. USSR Izv , vol.14 , pp. 103-167
    • Nikulin, V.1
  • 28
    • 0001928107 scopus 로고
    • Finite automorphism groups of Kuhler K3 surfaces
    • _, Finite automorphism groups of Kuhler K3 surfaces, Trans. Moscow Math. Soc. 38 (1980), 71-135.
    • (1980) Trans. Moscow Math. Soc , vol.38 , pp. 71-135
    • Nikulin, V.1
  • 29
    • 84972559025 scopus 로고
    • On Jacobian fibrations on the Kummer surfaces of the product of nonisogenous elliptic curves
    • K. Oguiso, On Jacobian fibrations on the Kummer surfaces of the product of nonisogenous elliptic curves, J. Math. Soc. Japan 41 (1989), 651-680.
    • (1989) J. Math. Soc. Japan , vol.41 , pp. 651-680
    • Oguiso, K.1
  • 31
    • 51249179505 scopus 로고
    • When is an Abelian surface isomorphic or isogenous to a product of elliptic curves?
    • W. Ruppert, When is an Abelian surface isomorphic or isogenous to a product of elliptic curves? Math. Z. 203 (1990), 293-299.
    • (1990) Math. Z , vol.203 , pp. 293-299
    • Ruppert, W.1
  • 32
    • 0030590295 scopus 로고    scopus 로고
    • F-Theory and orientifolds
    • A. Sen, F-Theory and orientifolds, Nuclear Phys. B 475 (1996), 562-578.
    • (1996) Nuclear Phys. B , vol.475 , pp. 562-578
    • Sen, A.1
  • 33
    • 0001738132 scopus 로고
    • On the Mordell-Weil lattices
    • T. Shioda, On the Mordell-Weil lattices, Comment. Math. Univ. St. Paul. 39 (1990), 211-240.
    • (1990) Comment. Math. Univ. St. Paul , vol.39 , pp. 211-240
    • Shioda, T.1
  • 34
    • 0002849852 scopus 로고
    • Algorithm for determining the type of a singular fiber in an elliptic pencil
    • Modular functions of one variable, IV Proc. Internat. Summer School, Univ. Antwerp, Springer-Verlag, Berlin
    • J. Tate, Algorithm for determining the type of a singular fiber in an elliptic pencil, Modular functions of one variable, IV (Proc. Internat. Summer School, Univ. Antwerp, 1972), Lecture Notes in Math., 476, pp. 33-52, Springer-Verlag, Berlin, 1975.
    • (1972) Lecture Notes in Math , vol.476 , pp. 33-52
    • Tate, J.1
  • 35
    • 0030591389 scopus 로고    scopus 로고
    • Evidence for F-Theory
    • C. Vafa, Evidence for F-Theory, Nuclear Phys. B 469 (1996), 403-415.
    • (1996) Nuclear Phys. B , vol.469 , pp. 403-415
    • Vafa, C.1
  • 36
    • 84952767915 scopus 로고    scopus 로고
    • Quotients of K3 surfaces modulo involutions
    • D. Q. Zhang, Quotients of K3 surfaces modulo involutions, Japan. J. Math. 24 (1998), 335-366.
    • (1998) Japan. J. Math , vol.24 , pp. 335-366
    • Zhang, D.Q.1


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