Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.632869
Title: McKay quivers and terminal quotient singularities in dimension 3
Author: Jung, Seung-Jo
ISNI:       0000 0004 5363 6176
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2014
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Abstract:
Let G C GL3(C) be the group of type 1/r(1, a, r-a) with a coprime to r. For such G, the quotient variety X = C3/G is not Gorenstein and has a terminal singularity. The singular variety X has the economic resolution which is "close to being crepant". In this paper, we prove that the economic resolution of the quotient variety X = C3/G is isomorphic to the birational component of a moduli space of Θ-stable McKay quiver representations for a suitable GIT parameter Θ. Moreover, we conjecture that the moduli space of Θ-stable McKay quiver representations is irreducible, and prove this for a = 2 and in a number of special examples.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.632869  DOI: Not available
Keywords: QA Mathematics
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