具有规定分支数据的曲面上复杂投影结构的完整性

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Topology Pub Date : 2023-03-13 DOI:10.1112/topo.12287

Thomas Le Fils

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引用次数: 0

摘要

我们将一个闭曲面的基群的表示刻画为具有固定分支除数的支复射影结构的完整集PSL2(C)$\ mathm {PSL}_2(\mathbb {C})$。特别地，我们计算了具有规定积分圆锥角的球面度量的完整分类和具有固定圆锥角的仿射结构在封闭表面上的完整分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Holonomy of complex projective structures on surfaces with prescribed branch data

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Holonomy of complex projective structures on surfaces with prescribed branch data

We characterize the representations of the fundamental group of a closed surface to ${PSL}_{2} (C)$ that arise as the holonomy of a branched complex projective structure with fixed branch divisor. In particular, we compute the holonomies of the spherical metrics with prescribed integral conical angles and the holonomies of affine structures with fixed conical angles on closed surfaces.

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来源期刊

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.