메뉴 건너뛰기




Volumn 10, Issue 3, 2001, Pages 433-496

Mirror symmetry for Abelian varieties

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035615031     PISSN: 10563911     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (29)

References (30)
  • 1
    • 0003257818 scopus 로고
    • Quadratic Forms over Semilocal Rings
    • R. Baeza, Quadratic Forms over Semilocal Rings, Springer Lect. Notes Math., v.655 (1978).
    • (1978) Springer Lect. Notes Math. , vol.655
    • Baeza, R.1
  • 4
    • 0000124624 scopus 로고
    • Variétés de Shimura: Interpretation modulaire, et techniques de construction de modeles canoniques
    • P. Deligne, Variétés de Shimura: interpretation modulaire, et techniques de construction de modeles canoniques, Proc. of Symp. in Pure Math., vol.33(1979), part 2, pp. 247-290.
    • (1979) Proc. of Symp. in Pure Math. , vol.33 , Issue.2 PART , pp. 247-290
    • Deligne, P.1
  • 5
    • 0347847470 scopus 로고
    • On multiplication algebras of Riemann matrices
    • L. Gerritzen, On multiplication algebras of Riemann matrices, Math. Ann., v.194, (1971), pp.109-122.
    • (1971) Math. Ann. , vol.194 , pp. 109-122
    • Gerritzen, L.1
  • 6
    • 0010957559 scopus 로고
    • Topics in transcendental algebraic geometry
    • Princeton Univ. Press
    • Ph. Griffiths et al., Topics in transcendental algebraic geometry, Annals of Math. Studies, 106, Princeton Univ. Press, 1984.
    • (1984) Annals of Math. Studies , pp. 106
    • Griffiths, Ph.1
  • 11
    • 0003796907 scopus 로고
    • Springer-Verlag, Berlin Heidelberg New York
    • M. Karoubi, K-theory, Springer-Verlag, Berlin Heidelberg New York, (1978).
    • (1978) K-theory
    • Karoubi, M.1
  • 12
    • 0002596180 scopus 로고
    • Algebraic cycles and the Weil conjectures
    • North-Holland, Amsterdam
    • S. Kleiman, Algebraic cycles and the Weil conjectures, Dix Exposés sur la Cohomologie des Schémas, North-Holland, Amsterdam, 1968, pp.359-386.
    • (1968) Dix Exposés Sur la Cohomologie des Schémas , pp. 359-386
    • Kleiman, S.1
  • 13
    • 0000302037 scopus 로고
    • Homological algebra of mirror symmetry
    • Zurich, Birkhauser, Basel
    • M. Kontsevich, Homological algebra of mirror symmetry, Proceedings of ICM (Zurich, 1994), 120-139, Birkhauser, Basel 1995.
    • (1994) Proceedings of ICM , pp. 120-139
    • Kontsevich, M.1
  • 15
    • 0031485623 scopus 로고    scopus 로고
    • A Lie algebra attached to a projective variety
    • E. Looijenga and V. Lunts, A Lie algebra attached to a projective variety, Invent. Math., vol. 129 (1997), pp.361-412.
    • (1997) Invent. Math. , vol.129 , pp. 361-412
    • Looijenga, E.1    Lunts, V.2
  • 16
    • 0346587374 scopus 로고    scopus 로고
    • The geometry underlying mirror symmetry
    • New Trends in Algebraic Geometry (Warwick, 1996), Cambridge Univ. Press
    • D. Morrison, The geometry underlying mirror symmetry, New Trends in Algebraic Geometry (Warwick, 1996), London Math. Soc. Lecture Note Ser., vol. 264, Cambridge Univ. Press, 1999, pp. 283-310.
    • (1999) London Math. Soc. Lecture Note Ser. , vol.264 , pp. 283-310
    • Morrison, D.1
  • 17
    • 84972539524 scopus 로고
    • Duality between D(X) and D(X̂) with its application to Picard sheaves
    • S. Mukai, Duality between D(X) and D(X̂) with its application to Picard sheaves, Nagoya Math. J. 81 (1981), pp.153-175.
    • (1981) Nagoya Math. J. , vol.81 , pp. 153-175
    • Mukai, S.1
  • 18
    • 19544382532 scopus 로고
    • Abelian varieties and spin representation
    • preprint of Warwick Univ. (1998) English translation from Sapporo
    • S. Mukai, Abelian varieties and spin representation, preprint of Warwick Univ. (1998) (English translation from Proceedings of the symposium "Hodge Theory and Algebraic Geometry", Sapporo, 1994, pp. 110-135.)
    • (1994) Proceedings of the Symposium "Hodge Theory and Algebraic Geometry" , pp. 110-135
    • Mukai, S.1
  • 19
    • 0004070495 scopus 로고
    • Oxford Univ. Press, Second Edition
    • D. Mumford, Abelian Varieties, Oxford Univ. Press, Second Edition, 1974.
    • (1974) Abelian Varieties
    • Mumford, D.1
  • 22
    • 0011411741 scopus 로고
    • Endomorphism algebra of complex tori
    • F. Oort and Yu. Zarhin, Endomorphism algebra of complex tori, Math. Ann., v.303, (1995), pp.11-29.
    • (1995) Math. Ann. , vol.303 , pp. 11-29
    • Oort, F.1    Zarhin, Yu.2
  • 23
    • 0000439288 scopus 로고    scopus 로고
    • Equivalences of derived categories and K3 surfaces
    • Algebraic Geometry 7, New York
    • D. Orlov, Equivalences of derived categories and K3 surfaces, Algebraic Geometry 7, J. Math. Sci. (New York) 84 (1997), 1361-1381.
    • (1997) J. Math. Sci. , vol.84 , pp. 1361-1381
    • Orlov, D.1
  • 26
    • 0030300392 scopus 로고    scopus 로고
    • Symplectic biextensions and generalization of the Fourier-Mukai transforms
    • A. Polishchuk, Symplectic biextensions and generalization of the Fourier-Mukai transforms, Math. Research Letters, vol. 3 (1996), pp.813-828.
    • (1996) Math. Research Letters , vol.3 , pp. 813-828
    • Polishchuk, A.1
  • 28
    • 0001623086 scopus 로고    scopus 로고
    • Categorical mirror symmetry: The elliptic curve
    • A. Polishchuk and E. Zaslow, Categorical mirror symmetry: The elliptic curve, Adv. Theor. Math. Phys. 2 (1998), pp.443-470.
    • (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 443-470
    • Polishchuk, A.1    Zaslow, E.2
  • 29
    • 0000429325 scopus 로고
    • Catégories dérivées, Cohomologie Étale, Séminaire de Géométrie Algébrique du Bois-Marie (SGA 41/2)
    • J.-L. Verdier, Catégories dérivées, Cohomologie Étale, Séminaire de Géométrie Algébrique du Bois-Marie (SGA 41/2), Springer Lect. Notes Math., no. 569 (1977), pp. 262-311.
    • (1977) Springer Lect. Notes Math. , Issue.569 , pp. 262-311
    • Verdier, J.-L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.