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arXiv · 0911.4693

On Oda's Strong Factorization Conjecture

Sergio Da Silva·Kalle Karu
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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.

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Sergio Da Silva, Kalle Karu. 2009-11-24. On Oda's Strong Factorization Conjecture. https://arxiv.org/abs/0911.4693

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