紧致Kähler流形和代数曲面的拓扑平凡自同构

IF 0.6 4区数学 Q3 MATHEMATICS

Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2020-12-21 DOI:10.4171/RLM/933

F. Catanese, Wenfei Liu

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引用次数: 4

摘要

本文研究了具有不同拓扑平凡性的紧致Kähler流形的自同构。特别地，我们提供了光滑复投影曲面X的几个例子，其C∞-同位素平凡自同构群分别为。上同调平凡自同构，具有许多可以任意大的连通分量。献给意大利数学“红色”主教爱德华多·维森蒂尼（1928-2020）。

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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On topologically trivial automorphisms of compact Kähler manifolds and algebraic surfaces

In this paper, we investigate automorphisms of compact Kähler manifolds with different levels of topological triviality. In particular, we provide several examples of smooth complex projective surfaces X whose groups of C∞-isotopically trivial automorphisms, resp. cohomologically trivial automorphisms, have a number of connected components which can be arbitrarily large. Dedicated to the memory of the ‘red’ Bishop of Italian Mathematics, Edoardo Vesentini (1928-2020).

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来源期刊

Rendiconti Lincei-Matematica e Applicazioni MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal is dedicated to the publication of high-quality peer-reviewed surveys, research papers and preliminary announcements of important results from all fields of mathematics and its applications.