A Torelli theorem for the moduli space of parabolic rank two vector bundles over curves.

All of RECERCAT

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: