Moduli spaces of holomorphic triples over compact Riemann surfaces

• Tipo: Artigo em Revista Científica Internacional
• Data: 2004

Autores

Bradlow, SB (Autor) Outra; Garcia Prada, O (Autor) Outra; Gothen, PB (Autor) FCUP

Revista

Título: Mathematische Annalen

Vol. 328

Páginas: 299-351

ISSN: 0025-5831

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 42 Citações

Scopus - 48 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-000-D6Z

DOI: 10.1007/s00208-003-0484-z

Abstract (EN): A holomorphic triple over a compact Riemann surface consists of two holomorphic vector bundles and a holomorphic map between them. After fixing the topological types of the bundles and a real parameter, there exist moduli spaces of stable holomorphic triples. In this paper we study non-emptiness, irreducibility, smoothness, and birational descriptions of these moduli spaces for a certain range of the parameter. Our results have important applications to the study of the moduli space of representations of the fundamental group of the surface into unitary Lie groups of indefinite signature ([5, 7]). Another application, that we study in this paper, is to the existence of stable bundles on the product of the surface by the complex projective line.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 53