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

Please use this identifier to cite or link to this item: http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2495

Title:	On the geometry of moduli spaces of holomorphic chains over compact Riemann surfaces
Keywords:	Holomorphic chains Higgs bundles Moduli spaces
Description:	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. Peer reviewed
URI:	http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2495
Other Identifiers:	arXiv:math/0512498 International Mathematics Research Papers, Volume 2006 (2006), Article ID 73597 http://hdl.handle.net/10261/2495 10.1155/IMRP/2006/73597
Appears in Collections:	Digital Csic

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