English   español
Por favor, use este identificador para citar o enlazar a este item: http://hdl.handle.net/10261/2495
Compartir / Impacto:
 MendeleyBASE |  Ver citas en Google académico Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL Exportar otros formatos:
 Título : On the geometry of moduli spaces of holomorphic chains over compact Riemann surfaces Autor : Alvarez-Cónsul, Luis; García Prada, Oscar; Schmitt, Alexander H.W. Palabras clave : Holomorphic chainsHiggs bundlesModuli spaces Fecha de publicación : 21-dic-2005 Citación : arXiv:math/0512498International Mathematics Research Papers, Volume 2006 (2006), Article ID 73597 Resumen: We study holomorphic $(n+1)$-chains $E_n\to E_{n-1} \to >... \to E_0$ consisting of holomorphic vector bundles over a compact Riemann surface and homomorphisms between them. A notion of stability depending on $n$ real parameters was introduced in the work of the first two authors and moduli spaces were constructed by the third one. In this paper we study the variation of the moduli spaces with respect to the stability parameters. In particular we characterize a parameter region where the moduli spaces are birationally equivalent. A detailed study is given for the case of 3-chains, generalizing that of 2-chains (triples) in the work of Bradlow, Garcia-Prada and Gothen. Our work is motivated by the study of the topology of moduli spaces of Higgs bundles and their relation to representations of the fundamental group of the surface. URI : http://hdl.handle.net/10261/2495 DOI: 10.1155/IMRP/2006/73597 Aparece en las colecciones: (ICMAT) Artículos
###### Ficheros en este ítem:
Fichero Descripción Tamaño Formato