复环面商的数值表征

IF 1.1 3区数学 Q1 MATHEMATICS

Commentarii Mathematici Helvetici Pub Date : 2021-09-14 DOI:10.4171/cmh/543

B. Claudon, Patrick Graf, Henri Guenancia

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引用次数: 5

摘要

本文根据第一和第二Chern类上的数值消失条件，给出了在余维2中自由作用的有限群的复复复曲面商的特征。这推广了Greb–Kebekus–Peternell之前在射影环境中获得的结果，以及Kirschner和第二作者在三维中获得的结论。作为证明的一个关键因素，我们得到了奇异空间上稳定槽轮的Bogomolov–Gieseker不等式的一个版本，包括对等式情况的讨论。

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Numerical characterization of complex torus quotients

. This article gives a characterization of quotients of complex tori by ﬁnite groups acting freely in codimension two in terms of a numerical vanishing condition on the ﬁrst and second Chern class. This generalizes results previously obtained by Greb–Kebekus–Peternell in the projective setting, and by Kirschner and the second author in dimension three. As a key ingredient to the proof, we obtain a version of the Bogomolov–Gieseker inequality for stable sheaves on singular spaces, including a discussion of the case of equality.

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来源期刊

Commentarii Mathematici Helvetici 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Commentarii Mathematici Helvetici (CMH) was established on the occasion of a meeting of the Swiss Mathematical Society in May 1928. The first volume was published in 1929. The journal soon gained international reputation and is one of the world''s leading mathematical periodicals. Commentarii Mathematici Helvetici is covered in: Mathematical Reviews (MR), Current Mathematical Publications (CMP), MathSciNet, Zentralblatt für Mathematik, Zentralblatt MATH Database, Science Citation Index (SCI), Science Citation Index Expanded (SCIE), CompuMath Citation Index (CMCI), Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), ISI Alerting Services, Journal Citation Reports/Science Edition, Web of Science.