Abstract
Let X X be an irreducible smooth projective algebraic curve of genus g ⼠2 g \geq 2 over the ground field C \mathbb {C} , and let G 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 BruhatâTits group scheme G \mathcal G and to construct the moduli space of semistable parahoric G \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 G . The results give a generalization of the earlier results of Mehta and Seshadri on parabolic vector bundles.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.