Terminal quotient singularities in dimension three via variation of GIT

Seung Jo Jung

doi:10.1016/j.jalgebra.2016.08.032

Terminal quotient singularities in dimension three via variation of GIT

Seung Jo Jung

Department of Mathematics Education

Korea Institute for Advanced Study

Research output: Contribution to journal › Journal article › peer-review

7 Scopus citations

Abstract

A 3-fold terminal quotient singularity X=C³/G admits the economic resolution Y→X, which is “close to being crepant”. This paper proves that the economic resolution Y is isomorphic to a distinguished component of a fine moduli space of θ-stable G-constellations for a suitable GIT parameter θ.

Original language	English
Pages (from-to)	354-394
Number of pages	41
Journal	Journal of Algebra
Volume	468
DOIs	https://doi.org/10.1016/j.jalgebra.2016.08.032
State	Published - 2016.12.15

Keywords

Economic resolutions
Terminal quotient singularities
The McKay correspondence

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10.1016/j.jalgebra.2016.08.032

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title = "Terminal quotient singularities in dimension three via variation of GIT",

abstract = "A 3-fold terminal quotient singularity X=C3/G admits the economic resolution Y→X, which is “close to being crepant”. This paper proves that the economic resolution Y is isomorphic to a distinguished component of a fine moduli space of θ-stable G-constellations for a suitable GIT parameter θ.",

keywords = "Economic resolutions, Terminal quotient singularities, The McKay correspondence",

author = "Jung, \{Seung Jo\}",

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year = "2016",

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T1 - Terminal quotient singularities in dimension three via variation of GIT

AU - Jung, Seung Jo

PY - 2016/12/15

Y1 - 2016/12/15

N2 - A 3-fold terminal quotient singularity X=C3/G admits the economic resolution Y→X, which is “close to being crepant”. This paper proves that the economic resolution Y is isomorphic to a distinguished component of a fine moduli space of θ-stable G-constellations for a suitable GIT parameter θ.

AB - A 3-fold terminal quotient singularity X=C3/G admits the economic resolution Y→X, which is “close to being crepant”. This paper proves that the economic resolution Y is isomorphic to a distinguished component of a fine moduli space of θ-stable G-constellations for a suitable GIT parameter θ.

KW - Economic resolutions

KW - Terminal quotient singularities

KW - The McKay correspondence

UR - https://www.scopus.com/pages/publications/84987602310

U2 - 10.1016/j.jalgebra.2016.08.032

DO - 10.1016/j.jalgebra.2016.08.032

M3 - Journal article

AN - SCOPUS:84987602310

SN - 0021-8693

VL - 468

SP - 354

EP - 394

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Terminal quotient singularities in dimension three via variation of GIT

Abstract

Keywords

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