正特征群方案和曲面专题

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-05-16 DOI:10.1007/s11565-024-00514-8

Nikolaos Tziolas

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引用次数: 0

摘要

本文基于作者 2023 年 3 月在爱丁堡大学发表的一系列关于正特征曲面的演讲。其中特别讨论了无穷小群方案及其对代数曲面的作用、一般类型曲面的自变群方案结构以及小平消失定理的失效。

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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Topics in group schemes and surfaces in positive characteristic

This paper is based on a series of talks that the author gave at the University of Edinburgh in March 2023 on surfaces in positive characteristic. In particular, infinitesimal group schemes and their actions on algebraic surfaces are discussed, the structure of the automorphism group scheme of a surface of general type and the failure of the Kodaira vanishing theorem.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.