| Texto completo | |
| Autor(es): |
Lo Giudice, Alessio
;
Pustetto, Andrea
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL OF GEOMETRY AND PHYSICS; v. 110, p. 328-342, DEC 2016. |
| Citações Web of Science: | 0 |
| Resumo | |
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) | |
| Processo FAPESP: | 13/20617-2 - Fibrados principais em variedades projetivas |
| Beneficiário: | Alessio Lo Giudice |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |