Local Strong Factorization of birational maps
代数几何
2007-05-23 v1 交换代数
摘要
The strong factorization conjecture states that a proper birational map between smooth algebraic varieties over a field of characteristic zero can be factored as a sequence of smooth blowups followed by a sequence of smooth blowdowns. We prove a local version of the strong factorization conjecture for toric varieties. Combining this result with the monomialization theorem of S.D.Cutkosky, we obtain a strong factorization theorem for local rings dominated by a valuation.
引用
@article{arxiv.math/0303148,
title = {Local Strong Factorization of birational maps},
author = {Kalle Karu},
journal= {arXiv preprint arXiv:math/0303148},
year = {2007}
}
备注
9 pages, 5 figures