Moduli of parahoric G-torsors on a compact Riemann surface

Balaji, V. ; Seshadri, C. S. (2011) Moduli of parahoric G-torsors on a compact Riemann surface Arxiv - eprints . pp. 1-36.

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Official URL: http://arxiv.org/pdf/1009.3485v2.pdf

Abstract

Let χ be an irreducible smooth projective algebraic curve of genus g ≥ 2 over the ground field C and let G be a semisimple simply connected algebraic group. The aim of this paper is to introduce the notion of a semistable and stable parahoric torsor under a certain Bruhat-Tits group scheme G, construct the moduli space of semistable parahoric G-torsors and identify the underlying topological space of this moduli space with certain spaces of homomorphisms of Fuchsian groups into a maximal compact subgroup of G. The results give a complete generalization of the earlier results of Mehta and Seshadri on parabolic vector bundles.

Item Type:Article
Source:Copyright of this article belongs to Arxiv Publication.
ID Code:82821
Deposited On:15 Feb 2012 12:00
Last Modified:18 May 2016 23:53

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