메뉴 건너뛰기




Volumn 52, Issue 3, 2000, Pages 383-413

Toward the classification of higher-dimensional toric fano varieties

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034343763     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1178207820     Document Type: Article
Times cited : (102)

References (19)
  • 1
    • 0033262830 scopus 로고    scopus 로고
    • A note on the factorization theorem of toric birational maps after Morelli and its toroidal extension
    • D. Abramovich, K. Matsuki and S. Rashid, A note on the factorization theorem of toric birational maps after Morelli and its toroidal extension, Tohoku Math. J. 51 (1999), 489-537.
    • (1999) Tohoku Math. J , vol.51 , pp. 489-537
    • Abramovich, D.1    Matsuki, K.2    Rashid, S.3
  • 2
    • 0002022547 scopus 로고
    • Boundedness of the degree of higher-dimensional toric Fano varieties
    • V. V. Batyrev, Boundedness of the degree of higher-dimensional toric Fano varieties, Moscow Univ. Math. Bull. 37 (1982), 28-33.
    • (1982) Moscow Univ. Math. Bull , vol.37 , pp. 28-33
    • Batyrev, V.V.1
  • 3
    • 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
  • 4
    • 84972567191 scopus 로고
    • On the classification of smooth projective toric varieties
    • V. V. Batyrev, On the classification of smooth projective toric varieties, Tohoku Math. J. 43 (1991), 569-585.
    • (1991) Tohoku Math. J , vol.43 , pp. 569-585
    • Batyrev, V.V.1
  • 5
    • 0001225768 scopus 로고    scopus 로고
    • On the classification of toric Fano 4-folds, Algebraic geometry
    • V. V. Batyrev, On the classification of toric Fano 4-folds, Algebraic geometry, 9. J. Math. Sci. (New York) 94(1999), 1021-1050.
    • (1999) J. Math. Sci. (New York) , vol.94 , pp. 1021-1050
    • Batyrev, V.V.1
  • 6
    • 0002211387 scopus 로고
    • On the classification of toric Fano varieties
    • G. Ewald, On the classification of toric Fano varieties, Discrete Comput. Geom. 3 (1988), 49-54.
    • (1988) Discrete Comput. Geom , vol.3 , pp. 49-54
    • Ewald, G.1
  • 7
    • 0002893741 scopus 로고
    • Introduction to Toric Varieties
    • Princeton Univ. Press
    • W. Fulton, Introduction to Toric Varieties, Ann. of Math. Studies 131, Princeton Univ. Press, 1993.
    • (1993) Ann. Of Math. Studies , vol.131
    • Fulton, W.1
  • 8
    • 0002211389 scopus 로고
    • A classification of toric varieties with few generators
    • P. Kleinschmidt, A classification of toric varieties with few generators, Aequationes Math. 35 (1988), 254-266.
    • (1988) Aequationes Math , vol.35 , pp. 254-266
    • Kleinschmidt, P.1
  • 9
    • 0003606007 scopus 로고
    • The number of moduli of families of curves on toric surfaces
    • R. Koelman, The number of moduli of families of curves on toric surfaces, Thesis, Univ. Nijmegen, 1991.
    • (1991) Thesis, Univ. Nijmegen
    • Koelman, R.1
  • 10
    • 0031138535 scopus 로고    scopus 로고
    • On the classification of reflexive polyhedra
    • M. Kreuzer and H. Skarke, On the classification of reflexive polyhedra, Comm. Math. Phys. 185 (1997), no. 2, 495-508.
    • (1997) Comm. Math. Phys , vol.185 , Issue.2 , pp. 495-508
    • Kreuzer, M.1    Skarke, H.2
  • 11
    • 0001862797 scopus 로고    scopus 로고
    • Classification of reflexive polyhedra in three dimensions
    • M. Kreuzer and H. Skarke, Classification of reflexive polyhedra in three dimensions, Adv. Theor. Math. Phys. 2(1998), no. 4, 853-871.
    • (1998) Adv. Theor. Math. Phys , vol.2 , Issue.4 , pp. 853-871
    • Kreuzer, M.1    Skarke, H.2
  • 12
    • 0030491790 scopus 로고    scopus 로고
    • The birational geometry of toric varieties
    • R. Morelli, The birational geometry of toric varieties, J. Algebraic Geom. 5 (1996), 751-782.
    • (1996) J. Algebraic Geom , vol.5 , pp. 751-782
    • Morelli, R.1
  • 13
    • 0002818135 scopus 로고
    • Convex Bodies and Algebraic Geometry—An introduction to the theory of toric varieties
    • Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo
    • T. Oda, Convex Bodies and Algebraic Geometry—An introduction to the theory of toric varieties, Ergeb. Math. Grenzgeb. (3), Vol. 15, Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, 1988.
    • (1988) Ergeb. Math. Grenzgeb , vol.15 , Issue.3
    • Oda, T.1
  • 14
    • 0002147216 scopus 로고
    • Lectures on Torus Embeddings and Applications (Based on Joint Work with Katsuya Miyake)
    • Springer, Berlin, Heidelberg, New York
    • T. Oda, Lectures on Torus Embeddings and Applications (Based on Joint Work with Katsuya Miyake), Tata Inst. Fund. Res. Lectures on Math, and Phys. 58, Springer, Berlin, Heidelberg, New York, 1978.
    • (1978) Tata Inst. Fund. Res. Lectures on Math, and Phys , vol.58
    • Oda, T.1
  • 15
    • 84972570062 scopus 로고
    • Linear Gale transforms and Gel’fand-Kapranov-Zelevinsky decompositions
    • T. Oda and H. S. Park, Linear Gale transforms and Gel’fand-Kapranov-Zelevinsky decompositions, Tohoku Math. J. 43 (1991), 375-399.
    • (1991) Tohoku Math. J , vol.43 , pp. 375-399
    • Oda, T.1    Park, H.S.2
  • 16
    • 0001048211 scopus 로고
    • papers dedicated to I. R. Shafare-vich on the occasion of his 60th birthday (M. Artin and J. Tate, eds.), vol. II, Geometry, Progress in Math. 36, Birkhauser, Boston, Basel, Stuttgart
    • M. Reid, Decomposition of toric morphisms, in Arithmetic and Geometry, papers dedicated to I. R. Shafare-vich on the occasion of his 60th birthday (M. Artin and J. Tate, eds.), vol. II, Geometry, Progress in Math. 36, Birkhauser, Boston, Basel, Stuttgart, 1983, 395-418.
    • (1983) Decomposition of Toric Morphisms, in Arithmetic and Geometry , pp. 395-418
    • Reid, M.1
  • 17
    • 0000573116 scopus 로고
    • Toroidal Fano varieties and root systems
    • V. E. Voskresenskij and A. A. Klyachko, Toroidal Fano varieties and root systems, Math. USSR-Izv. 24 (1985), 221-244.
    • (1985) Math. Ussr-Izv , vol.24 , pp. 221-244
    • Voskresenskij, V.E.1    Klyachko, A.A.2
  • 18
    • 84972502941 scopus 로고
    • The classification of Fano 3-folds with torus embeddings
    • K. Watanabe and M. Watanabe, The classification of Fano 3-folds with torus embeddings, Tokyo J. Math. 5 (1982), 37-48.
    • (1982) Tokyo J. Math , vol.5 , pp. 37-48
    • Watanabe, K.1    Watanabe, M.2
  • 19
    • 21444445016 scopus 로고    scopus 로고
    • Decomposition of birational toric maps in blow-ups and blow-downs
    • J. Wlodarczyk, Decomposition of birational toric maps in blow-ups and blow-downs, Trans. Amer. Math. Soc. 349(1997), 373-411.
    • (1997) Trans. Amer. Math. Soc , vol.349 , pp. 373-411
    • Wlodarczyk, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.