相干解析空间族的性质准则

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2017-10-04 DOI:10.14231/AG-2020-015

M. Toma

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引用次数: 4

摘要

我们将兰顿关于相干代数束族的值判据推广到一个复杂的解析装置。由此，我们得到了紧复流形上半稳定轮轴模空间紧性的一组充分条件。这也适用于在复杂射影几何中出现的一些情况，这些情况在以前的结果中没有涉及到。

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Properness criteria for families of coherent analytic spaces

We extend Langton's valuative criterion for families of coherent algebraic sheaves to a complex analytic set-up. As a consequence we derive a set of sufficient conditions for the compactness of a moduli space of semistable sheaves over a compact complex manifold. This applies also to some cases appearing in complex projective geometry not covered by previous results.

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来源期刊

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.