English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/2495
logo share SHARE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:


On the geometry of moduli spaces of holomorphic chains over compact Riemann surfaces

AuthorsAlvarez-Cónsul, Luis; García Prada, Oscar; Schmitt, Alexander H.W.
KeywordsHolomorphic chains
Higgs bundles
Moduli spaces
Issue Date21-Dec-2005
International Mathematics Research Papers, Volume 2006 (2006), Article ID 73597
AbstractWe 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.
Appears in Collections:(ICMAT) Artículos
Files in This Item:
File Description SizeFormat 
Alvarez-Consul.pdf729,24 kBAdobe PDFThumbnail
Show full item record
Review this work

WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.