论文标题

龙骨的基点免费定理和混合特征中的商

Keel's base point free theorem and quotients in mixed characteristic

论文作者

Witaszek, Jakub

论文摘要

我们开发了模仿Frobenius作用的技术,以研究混合特征的普遍同态形态。结果,我们显示了一个混合特征的龙骨基点的无基点无定理,该定理可为混合特征最小模型程序获取应用,我们概括了Kollár关于通过有限的等效关系存在与混合特征的商的定理,并且我们提供了Affine组计划的新证明。

We develop techniques of mimicking the Frobenius action in the study of universal homeomorphisms in mixed characteristic. As a consequence, we show a mixed characteristic Keel's base point free theorem obtaining applications towards the mixed characteristic Minimal Model Program, we generalise Kollár's theorem on the existence of quotients by finite equivalence relations to mixed characteristic, and we provide a new proof of the existence of quotients by affine group schemes.

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