HOME > Table of Contents and Abstracts > Vol. 63, No. 2
Tohoku Mathematical Journal
SECOND SERIES VOL. 63, NO. 2
|Tohoku Math. J.|
63 (2011), 163-182
ON ODA'S STRONG FACTORIZATION CONJECTURE
Sergio da Silva and Kalle Karu
(Received December 22, 2009)
The Oda's Strong Factorization Conjecture states that a proper birational map between smooth toric varieties can be decomposed as a sequence of smooth toric blowups followed by a sequence of smooth toric blowdowns. This article describes an algorithm that conjecturally constructs such a decomposition. Several reductions and simplifications of the algorithm are presented and some special cases of the conjecture are proved.
2000 Mathematics Subject Classification.
Primary 14E05; Secondary 14M25.
Key words and phrases.
Toric varieties, birational maps.
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