曲线上Higgs丛模的Picard群和基群

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2018-07-31 DOI:10.1515/coma-2018-0009

S. Chakraborty, Arjun Paul

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引用次数: 3

摘要

摘要设X为一条不可约的光滑投影曲线，且g属≥2。设MG, higgs δ是一个连通的约化仿射代数群。设Higgs为拓扑型δ∈π (G)的X上的半稳定主G-Higgs束的模空间。的基本群和Picard群的计算

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Picard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves

Abstract Let X be an irreducible smooth projective curve of genus g ≥ 2 over ℂ. Let MG, Higgsδbe a connected reductive affine algebraic group over ℂ. Let Higgs be the moduli space of semistable principal G-Higgs bundles on X of topological type δ∈π1(G). In this article,we compute the fundamental group and Picard group of

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来源期刊

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.