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Title: Geometry of moduli stacks of (k, l)-stable vector bundles over algebraic curves
Authors: Mata-Gutiérrez, O.
Neumann, Frank
First Published: 19-Oct-2016
Publisher: Elsevier for North-Holland Publishing
Citation: Journal of Geometry and Physics, 2017, 111, pp. 54-70
Abstract: We study the geometry of the moduli stack of vector bundles of fixed rank and degree over an algebraic curve by introducing a filtration made of open substacks build from (k,l)-stable vector bundles. The concept of (k,l)-stability was introduced by Narasimhan and Ramanan to study the geometry of the coarse moduli space of stable bundles. We will exhibit the stacky picture and analyse the geometric and cohomological properties of the moduli stacks of (k,l)-stable vector bundles. For particular pairs (k,l) of integers we also show that these moduli stacks admit coarse moduli spaces and we discuss their interplay.
DOI Link: 10.1016/j.geomphys.2016.10.003
ISSN: 0393-0440
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Creative Commons “Attribution Non-Commercial No Derivatives” licence CC BY-NC-ND, further details of which can be found via the following link: Archived with reference to SHERPA/RoMEO and publisher website.
Description: MSC primary, 14H60, 14D23; secondary, 14D20
Appears in Collections:Published Articles, Dept. of Mathematics

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