To access the full text documents, please follow this link: http://hdl.handle.net/2117/933
Title: | A Torelli theorem for the moduli space of parabolic rank two vector bundles over curves. |
---|---|
Author: | Balaji, V.; Baño Rollin, Sebastian del; Biswas, Indranil |
Other authors: | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
Abstract: | Let S (respectively, S') be a finite subset of a compact connected Riemann surface X (respectively, X') of genus at least two. Let M (respectively, M') denote a moduli space of parabolic stable bundles of rank two over X (respectively, X') with fixed determinant of degree one,having a nontrivial quasi-parabolic structure over each point of S (respectively, S'), and of parabolic degree less than two. It is proved that M is isomorphic to M' if and only if there is an isomorphism of X with X' taking S to S'. |
Subject(s): | -Geometry, Algebraic -Moduli space -Torelli theorem -NEF cone -Deligne-Beilinson cohomology -Cicles -Fibrats (Matemàtica) -Classificació AMS::14 Algebraic geometry::14C Cycles and subschemes -Classificació AMS::14 Algebraic geometry::14D Families, fibrations |
Rights: | Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
Document type: | Article |
Share: |