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.
Citation
Sergio da Silva. Kalle Karu. "On Oda's strong factorization conjecture." Tohoku Math. J. (2) 63 (2) 163 - 182, 2011. https://doi.org/10.2748/tmj/1309952085
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