2010/09/17 by V. Balaji, Balaji, V., C. S. Seshadri +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1009.3485
openalex publication_date 2010/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let X be an irreducible smooth projective algebraic curve of genus g ≥ 2 over the ground field \bc and let G be a semisimple simply connected algebraic group. The aim of this paper is to introduce the notion of semistable and stable parahoric torsors under a certain Bruhat-Tits group scheme \mathcal G and construct the moduli space of semistable parahoric \mathcal G--torsors; we also 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 generalization of the earlier results of Mehta and Seshadri on parabolic vector bundles. This is the final version of the accepted paper.