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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A compactification of the moduli space of principal Higgs bundles over singular curves

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Author(s):
Lo Giudice, Alessio ; Pustetto, Andrea
Total Authors: 2
Document type: Journal article
Source: JOURNAL OF GEOMETRY AND PHYSICS; v. 110, p. 328-342, DEC 2016.
Web of Science Citations: 0
Abstract

A principal Higgs bundle (P, phi) over a singular curve X is a pair consisting of a principal bundle P and a morphism phi : X -> AdP circle times ohm(1)(X). We construct the moduli space of principal Higgs G-bundles over an irreducible singular curve X using the theory of decorated vector bundles. More precisely, given a faithful representation rho : G -> SI(V) of G, we consider principal Higgs bundles as triples (E, q, phi), where E is a vector bundle with rk(E) = dim V over the normalization X of X, q is a parabolic structure on E and phi : E-a,E-b -> L is a morphism of bundles, L being a line bundle and E-a,E-b double dagger (E-circle times a)(circle times b) a vector bundle depending on the Higgs field phi, and on the principal bundle structure. (C) 2016 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 13/20617-2 - Principal bundles over projective varieties
Grantee:Alessio Lo Giudice
Support type: Scholarships in Brazil - Post-Doctorate