On Oda's Strong Factorization Conjecture
Algebraic Geometry
2009-11-25 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.0911.4693,
title = {On Oda's Strong Factorization Conjecture},
author = {Sergio Da Silva and Kalle Karu},
journal= {arXiv preprint arXiv:0911.4693},
year = {2009}
}
Comments
19 pages, 8 figures