Bridgeland stability conditions on normal surfaces

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-05-20 DOI:10.1007/s10231-024-01460-0

Adrian Langer

引用次数: 0

Abstract

We prove a new version of Bogomolov’s inequality on normal proper surfaces. This allows to construct Bridgeland’s stability condition on such surfaces. In particular, this gives the first known examples of stability conditions on non-projective, proper schemes.

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正常表面的布里奇兰稳定性条件

我们证明了正常适当曲面上的新版波戈莫洛夫不等式。这使得我们可以在这类曲面上构建布里奇兰稳定性条件。特别是，这给出了关于非投影的适当方案的稳定性条件的第一个已知例子。

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

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.