Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.535602
Title: Quivers of sections on toric Deligne-Mumford stacks
Author: Abdelgadir, Tarig M. H.
Awarding Body: University of Glasgow
Current Institution: University of Glasgow
Date of Award: 2011
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Abstract:
Starting from a collection of line bundles on a projective toric DM stack X, we introduce a stacky analogue of the classical linear series. Our first main result extends work of King by building moduli stacks of refined representations of labelled quivers. We associate one such stack to any collection of line bundles on X to obtain our notion of a stacky linear series; as in the classical case, X maps to the ambient stack by evaluating sections of line bundles in the collection. As a further application, we describe a finite sequence of GIT wall crossings between [A^n/G] and G-Hilb(A^n) for G a subgroup of SL(n,\kk) for n less than or equal to 3.
Supervisor: Not available Sponsor: Engineering and Physical Sciences Research Council
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.535602  DOI: Not available
Keywords: QA Mathematics
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