Decomposition of birational toric maps in blow-ups and blow-downs

Transactions of the American Mathematical Society

Volumn 349, Issue 1, 1997, Pages 373-411

  Wlodarczyk, Jaroslaw ^a  

^a UNIVERSITY OF WARSAW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444445016     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-97-01701-7     Document Type: Article

References (10)

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2. V.I. Danilov: The birational geometry of toric 3-folds. Izv. Akadem. Nauk SSSR Ser. Mat 46 (1982), 971-982; English transi., Math. USSR Izv. 21 (1983), 269-280. MR 84e:14008
3. P. Griffiths, J. Harris: Principles of algebraic geometry, A Wiley-Interscience Publication. John Wiley & Sons, New York, Chichester, Brisbane, Toronto, 1978. MR 80b:14001
4. Branko Grunbaum: Convex polytopes, Pure and Applied Mathematics, Volume XVI, John Wiley & Sons, New York, 1967. MR 37:2085
5. H. Hironaka: Resolution of singularities of an algebraic varieties over afield of characteristic zero. I, II, Annals of Math. 79 (1964), 109-203, 205-326. MR 33:7333
6. G. Kempf, F. Knudsen, D. Mumford, B.Saint-Donat: Toroidal embeddings, Lecture Notes in Math., vol. 339, Springer-Verlag, Berlin, Heidelberg, 1973. MR 44:299
7. T. Oda: Torus Embeddings and Applications, Tata Inst Fund. Research, Bombay, Springer-Verlag, 1978. MR 81e:14001
8. T. Oda: Convex Bodies and Algebraic Geometry. An Introduction to the Theory of Toric Varieties, Springer-Verlag, 1988. MR 88m:14038
9. M. Reid: Decompositions of toric morphisms, Arithmetic and Geometry, II. Progress in Math. 36 (1983), 395-418. MR 85e:14071
10. M. Teicher: On toroidal embeddings of 3-folds, Isr. J. Math 57 (1987), 46-67. MR 88m:14008