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McKay quivers and terminal quotient singularities in dimension 3
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Jung, Seung-Jo (2014) McKay quivers and terminal quotient singularities in dimension 3. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b2745426~S1
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.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Singularities (Mathematics), Varieties (Universal algebra), Geometry, Algebraic | ||||
Official Date: | June 2014 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Reid, Miles (Miles A.) | ||||
Extent: | v, 111 leaves | ||||
Language: | eng |
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