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Decomposition of Birational Toric Maps in Blow-Ups and Blow-Downs

Author: Jaroslaw Wlodarczyk
Journal: Trans. Amer. Math. Soc. 349 (1997), 373-411
MSC (1991): Primary 14E05; Secondary 14L32
MathSciNet review: 1370654
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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that a toric birational map between two complete
smooth toric varieties of the same dimension can be decomposed in a sequence of equivariant blow-ups and blow-downs along smooth centers.

References [Enhancements On Off] (What's this?)

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Additional Information

Jaroslaw Wlodarczyk
Affiliation: Institute of Matematics, Warsaw University, ul. Banacha 2, 02-097 Warszawa, Poland

Received by editor(s): March 9, 1994
Received by editor(s) in revised form: December 15, 1995
Additional Notes: This work was partially supported by Deutsche Forschungsgemeischaft and KBN
Article copyright: © Copyright 1997 American Mathematical Society