稳定曲线上奇异主束的模空间

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2020-10-01 DOI:10.1515/advgeom-2020-0003

Á. L. M. Castañeda

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引用次数: 5

摘要

摘要证明了不依赖基曲线的奇异主g束线性化的存在性。这使得我们可以构造约简投影和连通节点曲线族上δ-(半)稳定奇异主g束的相对紧模空间，并将𝓜g上的泛模空间的构造简化为沼泽的泛模空间的构造。

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On the moduli spaces of singular principal bundles on stable curves

Abstract We prove the existence of a linearization for singular principal G-bundles not depending on the base curve. This allow us to construct the relative compact moduli space of δ-(semi)stable singular principal G-bundles over families of reduced projective and connected nodal curves, and to reduce the construction of the universal moduli space over 𝓜g to the construction of the universal moduli space of swamps.

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.