Tohoku Mathematical Journal
2011
June
SECOND SERIES VOL. 63, NO. 2

Tohoku Math. J.
63 (2011), 163-182

Title ON ODA'S STRONG FACTORIZATION CONJECTURE

Author Sergio da Silva and Kalle Karu

(Received December 22, 2009)
Abstract. 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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