论文标题

SNC理想带状杆的更高直接图像

Higher direct images of snc ideal sheaves

论文作者

Godfrey, Charles

论文摘要

我们证明了在任意特征的(受限类别的)对成对的(限制类别的)对成对的异性形态下的理想滑轮的共同体学组的不变性结果,假设对正常的Cohen-Macaulayfications存在猜想。作为一种应用,我们在理性对理论中扩展了一些基本结果,这些结果以前仅在特征0中知道。

We prove invariance results for the cohomology groups of ideal sheaves of simple normal crossing divisors under (a restricted class of) birational morphisms of pairs in arbitrary characteristic, assuming a conjecture regarding the existence of normal Cohen-Macaulayfications. As an application, we extend some foundational results in the theory of rational pairs that were previously known only in characteristic 0.

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