Keel's base point free theorem and quotients in mixed characteristic
Keel's base point free theorem and quotients in mixed characteristic
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DOI：
10.4007/annals.2022.195.2.4
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发表时间：
2020-02
影响因子：
4.9
通讯作者：
J. Witaszek
中科院分区：
文献类型：
--
作者：
J. Witaszek
在混合特征泛同胚的研究中，我们发展了模仿Frobenius作用的技巧。作为结果，我们显示了混合特征的Keel的基点自由定理获得的应用程序对混合特征的最小模型程序，我们推广了Kollar的定理的存在性的有限等价关系的混合特征，我们提供了一个新的证明的存在性的仿射群计划。
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 Kollar'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.