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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Decomposition of Birational Toric Maps in Blow-Ups and Blow-Downs
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by Jaroslaw Wlodarczyk PDF
Trans. Amer. Math. Soc. 349 (1997), 373-411 Request permission

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
  • 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 1997 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 349 (1997), 373-411
  • MSC (1991): Primary 14E05; Secondary 14L32
  • DOI: https://doi.org/10.1090/S0002-9947-97-01701-7
  • MathSciNet review: 1370654