Rigid surfaces arbitrarily close to the Bogomolov–Miyaoka–Yau line

IF 1.7 1区数学 Q1 MATHEMATICS

American Journal of Mathematics Pub Date : 2019-09-01 DOI:10.1353/ajm.2022.0044

Matthew Stover, G. Urz'ua

引用次数: 2

Abstract

abstract:We prove the existence of rigid compact complex surfaces of general type whose Chern slopes are arbitrarily close to the Bogomolov--Miyaoka--Yau bound of $3$. In addition, each of these surfaces has first Betti number equal to $4$.

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刚性表面任意接近Bogomolov-Miyaoka-Yau线

文摘：我们证明了一般类型的刚性紧致复曲面的存在性，其Chern斜率任意接近$3$的Bogomolov-Miyaoka-Yau界。此外，这些曲面中的每个曲面都具有等于$4$的第一个Betti数。

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

American Journal of Mathematics 数学-数学

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.