The birational geometry of toric varieties

Journal of Algebraic Geometry

Volumn 5, Issue 4, 1996, Pages 751-782

  Morelli, Robert ^a  

^a UNIVERSITY OF UTAH   (United States)

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[No Author keywords available]

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EID: 0030491790     PISSN: 10563911     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. A. Bjoerner, M. LasVergnas, B. Sturmfels, N. White, and G. Ziegler. Oriented Matroids, Cambridge University Press, 1993.
2. V. I. Danilov. The Geometry of Toric Varieties, Russian Math. Surveys 33:2 (1978), 97-154; Uspehi Mat. Nauk 33:2 (1978), 85-134.
3. V. I. Danilov. The Geometry of Toric Varieties, Russian Math. Surveys 33:2 (1978), 97-154; Uspehi Mat. Nauk 33:2 (1978), 85-134.
4. V. I. Danilov. Birational Geometry of Toric 3-Folds, Math. USSR-Izv. 21 (1983), 269-280; Izv. Akad. Nauk SSSR, Ser. Mat. 46 (1982), 971-982.
5. V. I. Danilov. Birational Geometry of Toric 3-Folds, Math. USSR-Izv. 21 (1983), 269-280; Izv. Akad. Nauk SSSR, Ser. Mat. 46 (1982), 971-982.
6. C. De Concini and C. Procesi. Complete Symmetric Varieties II, in Algebraic Groups and Related Topics (R. Hotta, ed.), Adv. Studies in Pure Math. 6, Kinokuniya, Tokyo and North Holland, Amsterdam, New York, Oxford, 1985, pp. 481-513.
7. G. Ewald. Blow-ups of Smooth Toric 3-Varieties, Abh. Math. Sem. Univ. Hamburg 57 (1987) 193-201.
8. I. M. Gelfand, R. M. Goresky, R. D. MacPherson, and V. V. Serganova, Combinatorial Geometries, Convex Polyhedra, and Schubert Cells, Adv. in Math. 63 (1987) 301-316.
9. I. M. Gelfand, M. M. Kapranov, A. V. Zelevinsky, Discriminants of Polynomials in Several Variables and Triangulations of Newton Polytopes, Algebra i Analiz 2 (1990) 1-62.
10. G. Kempf, F. Knudsen, D. Mumford, and B. Saint-Donat. Toroidal Embeddings I, Lecture Notes in Mathematics 339, Springer, 1973.
11. K. Miyake and T. Oda. Lectures on Torus Embeddings and Applications, Tata Inst. of Fund. Research 58, Springer, Berlin, Heidelberg, New York, 1978.
12. B. Moishezon. On n-dimensional Compact Varieties with n Algebraically Independent Meromorphic Functions, Amer. Math. Soc. Translations 63 (1967) 51-177.
13. T. Oda. Convex Bodies and Algebraic Geometry, Springer-Verlag, Berlin, Heidelberg, New York, 1988.
14. Yu. D. Nesterenko and A. A. Suslin, Homology of the Full Linear Group over a Local Ring, and Milnor's K-Theory, USSR-Izv. 34 (1990) no.1, 121-145.
15. M. Reid. Decomposition of Toric Morphisms, in Arithmetic and Geometry, papers dedicated to I. R. Shafarevich on the occasion of his 60th birthday (M. Artin and J. Tate, eds.), vol. II, Geometry, Progress in Math. 36, Birkhäuser, Boston, Basel, Stuttgart, 1983, pp. 395-418.
16. H. Sumihiro, Equivariant Completion, I, II, J. Math. Kyoto Univ. 14 (1974) 1-28; ibid. 15 (1975) 573-605.
17. H. Sumihiro, Equivariant Completion, I, II, J. Math. Kyoto Univ. 14 (1974) 1-28; ibid. 15 (1975) 573-605.
18. W. van der Kallen. Homology Stability for Linear Groups, Inventiones Math. 60 (1980) 269-295.
19. J. Wlodarczyk. Decompositions of Birational Toric Maps in Blow-Ups and Blow-Downs. A Proof of the Weak Oda Conjecture, Preprint, 1991.