On rigid varieties with projective reduction

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2017-04-11 DOI:10.1090/jag/740

Shizhang Li

引用次数: 8

Abstract

In this paper, we study smooth proper rigid varieties which admit formal models whose special fibers are projective. The Main Theorem asserts that the identity components of the associated rigid Picard varieties will automatically be proper. Consequently, we prove that p p -adic Hopf varieties will never have a projective reduction. The proof of our Main Theorem uses the theory of moduli of semistable coherent sheaves.

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关于具有投影约简的刚性变种

本文研究了光滑的固有刚性变种，它允许特殊纤维是投影的形式模型。主定理断言，相关的刚性Picard变种的单位分量将自动是正确的。因此，我们证明了p-p-adic Hopf变种永远不会有投影约简。我们主要定理的证明使用了半稳定相干槽轮的模理论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.