메뉴 건너뛰기




Volumn 101, Issue 1, 2000, Pages 85-116

Semiample Hypersurfaces in Toric Varieties

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034649944     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-00-10114-7     Document Type: Article
Times cited : (23)

References (26)
  • 1
    • 84974003035 scopus 로고
    • Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori
    • V. V. Batyrev, Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori, Duke Math. J. 69 (1993), 349-409.
    • (1993) Duke Math. J , vol.69 , pp. 349-409
    • Batyrev, V.V.1
  • 2
    • 0000986417 scopus 로고
    • Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties
    • V. V. Batyrev, Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties, J. Algebraic Geom. 3 (1994), 493-535.
    • (1994) J. Algebraic Geom , vol.3 , pp. 493-535
    • Batyrev, V.V.1
  • 3
    • 0002840891 scopus 로고    scopus 로고
    • Stringy Hodge numbers of varieties with Gorenstein canonical singularities
    • World Scientific, River Edge, N.J
    • V. V. Batyrev, “Stringy Hodge numbers of varieties with Gorenstein canonical singularities” in Integrable Systems and Algebraic Geometry (Kobe/Kyoto, 1997), World Scientific, River Edge, N.J., 1998, 1-32.
    • (1998) Integrable Systems and Algebraic Geometry (Kobe/Kyoto, 1997) , pp. 1-32
    • Batyrev, V.V.1
  • 4
    • 0030523026 scopus 로고    scopus 로고
    • Mirror duality and string-theoretic Hodge numbers
    • V. V. Batyrev and L. A. Borisov, Mirror duality and string-theoretic Hodge numbers, Invent. Math. 126 (1996), 183-203.
    • (1996) Invent. Math , vol.126 , pp. 183-203
    • Batyrev, V.V.1    Borisov, L.A.2
  • 5
    • 84974004550 scopus 로고
    • On the Hodge structure of projective hypersurfaces in toric varieties
    • V. V. Batyrev and D. A. Cox, On the Hodge structure of projective hypersurfaces in toric varieties, Duke Math. J. 75 (1994), 293-338.
    • (1994) Duke Math. J , vol.75 , pp. 293-338
    • Batyrev, V.V.1    Cox, D.A.2
  • 6
    • 0030268719 scopus 로고    scopus 로고
    • Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry
    • V. V. Batyrev and D. Dais, Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry, Topology 35 (1996), 901-929.
    • (1996) Topology , vol.35 , pp. 901-929
    • Batyrev, V.V.1    Dais, D.2
  • 7
    • 0003068232 scopus 로고
    • Infinitesimal variations of Hodge structure and the global Torelli problem
    • Si-jthoff and Noordhoff, Alphen aan den Rijn
    • J. Carlson and P. Griffiths, “Infinitesimal variations of Hodge structure and the global Torelli problem” in Journées de géométrie algébrique d'Angers, juillet 1979, Si-jthoff and Noordhoff, Alphen aan den Rijn, 1980, 51-76.
    • (1980) Journées de géométrie algébrique D'angers, Juillet1979 , pp. 51-76
    • Carlson, J.1    Griffiths, P.2
  • 9
    • 0002803885 scopus 로고
    • The homogeneous coordinate ring of a toric variety
    • D. Cox, The homogeneous coordinate ring of a toric variety, J. Algebraic Geom. 4 (1995), 17-50.
    • (1995) J. Algebraic Geom , vol.4 , pp. 17-50
    • Cox, D.1
  • 10
    • 0002953845 scopus 로고    scopus 로고
    • Toric residues
    • D. Cox, Toric residues, Ark. Mat. 34 (1996), 73-96.
    • (1996) Ark. Mat , vol.34 , pp. 73-96
    • Cox, D.1
  • 11
    • 0001201668 scopus 로고    scopus 로고
    • Recent developments in toric geometry
    • Proc. Sympos. Pure Math. 62, Part 2, Amer. Math. Soc., Providence
    • D. Cox, “Recent developments in toric geometry” in Algebraic Geometry (Santa Cruz, 1995), Proc. Sympos. Pure Math. 62, Part 2, Amer. Math. Soc., Providence, 1997, 389-436.
    • (1997) Algebraic Geometry (Santa Cruz, 1995) , pp. 389-436
    • Cox, D.1
  • 14
    • 84956099454 scopus 로고
    • The geometry of toric varieties
    • V. Danilov, The geometry of toric varieties, Russian Math. Surveys 33, no. 2 (1978), 97-154.
    • (1978) Russian Math. Surveys , vol.33 , Issue.2 , pp. 97-154
    • Danilov, V.1
  • 15
    • 0001029146 scopus 로고
    • Newton polyhedra and an algorithm for computing Hodge-Deligne numbers
    • V. Danilov and A. Khovanskii, Newton polyhedra and an algorithm for computing Hodge-Deligne numbers, Math. USSR-Izv. 29 (1987), 279-298.
    • (1987) Math. Ussr-Izv , vol.29 , pp. 279-298
    • Danilov, V.1    Khovanskii, A.2
  • 19
    • 0002893741 scopus 로고
    • Introduction to Toric Varieties
    • Princeton Univ. Press, Princeton
    • W. Fulton, Introduction to Toric Varieties, Ann. of Math. Stud. 131, Princeton Univ. Press, Princeton, 1993.
    • (1993) Ann. of Math. Stud , vol.131
    • Fulton, W.1
  • 20
    • 0003314349 scopus 로고    scopus 로고
    • Intersection Theory
    • 2d ed, Springer-Verlag, Berlin
    • W. Fulton, Intersection Theory, 2d ed., Ergeb. Math. Grenzgeb. (3) 2, Springer-Verlag, Berlin, 1998.
    • (1998) Ergeb. Math. Grenzgeb , vol.2 , Issue.3
    • Fulton, W.1
  • 23
    • 0002195419 scopus 로고
    • A note on the Nakai-Moisezon test for ampleness of a divisor
    • S. L. Kleiman, A note on the Nakai-Moisezon test for ampleness of a divisor, Amer. J. Math. 87 (1965), 221-226.
    • (1965) Amer. J. Math , vol.87 , pp. 221-226
    • Kleiman, S.L.1
  • 24
    • 0002818135 scopus 로고
    • Convex Bodies and Algebraic Geometry: An Introduction to the Theory of Toric Varieties
    • Springer-Verlag, Berlin
    • T. Oda, Convex Bodies and Algebraic Geometry: An Introduction to the Theory of Toric Varieties, Ergeb. Math. Grenzgeb. (3) 15, Springer-Verlag, Berlin, 1988.
    • (1988) Ergeb. Math. Grenzgeb , vol.15 , Issue.3
    • Oda, T.1
  • 25
    • 0002029508 scopus 로고
    • Infinitesimal variations of Hodge structure and the generic Torelli problem for projective hypersurfaces (After Carlson, Donagi, Green, Griffiths, Harris)
    • Birkhäuser, Boston
    • C. Peters and J. Steenbrink, “Infinitesimal variations of Hodge structure and the generic Torelli problem for projective hypersurfaces (after Carlson, Donagi, Green, Griffiths, Harris)” in Classification of Algebraic and Analytic Manifolds (Katata, 1982), Progr. Math. 39, Birkhäuser, Boston, 1983, 399-463.
    • (1983) Classification of Algebraic and Analytic Manifolds (Katata, 1982), Progr. Math , vol.39 , pp. 399-463
    • Peters, C.1    Steenbrink, J.2
  • 26
    • 0001048211 scopus 로고
    • Decomposition of toric morphisms
    • Birkhäuser, Boston
    • M. Reid, “Decomposition of toric morphisms” in Arithmetic and Geometry, Vol. 2, Progr. Math. 36, Birkhäuser, Boston, 1983, 395-418.
    • (1983) Arithmetic and Geometry , vol.2 , Issue.36 , pp. 395-418
    • Reid, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.