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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)
     

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

Author(s): Jaroslaw Wlodarczyk
Journal: Trans. Amer. Math. Soc. 349 (1997), 373-411.
MSC (1991): Primary 14E05; Secondary 14L32
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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.


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Additional Information:

Jaroslaw Wlodarczyk
Affiliation: Institute of Matematics, Warsaw University, ul. Banacha 2, 02-097 Warszawa, Poland
Email: jwlodar@mimuw.edu.pl

DOI: 10.1090/S0002-9947-97-01701-7
PII: S 0002-9947(97)01701-7
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
Copyright of article: Copyright 1997, American Mathematical Society


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