RESOLUTION OF QUOTIENT SINGULARITIES VIA G-CONSTELLATIONS

Seung Jo Jung

doi:10.4134/BKMS.b230215

RESOLUTION OF QUOTIENT SINGULARITIES VIA G-CONSTELLATIONS

Seung Jo Jung^*

^*Corresponding author for this work

Department of Mathematics Education

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

Abstract

For a finite subgroup G of GL_n(C), the moduli space M_θ of θ-stable G-constellations is rarely smooth. This note shows that for a group G of type (Formula Presented) (1, a, b) with r = abc + a + b, there is a generic stability parameter θ ∈ Θ such that the birational component Y_θ of θ-stable G-constellations provides a resolution of the quotient singularity X:= C³/G.

Original language	English
Pages (from-to)	519-527
Number of pages	9
Journal	Bulletin of the Korean Mathematical Society
Volume	61
Issue number	2
DOIs	https://doi.org/10.4134/BKMS.b230215
State	Published - 2024

Keywords

G-constellations
quotient singularities

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.4134/BKMS.b230215

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title = "RESOLUTION OF QUOTIENT SINGULARITIES VIA G-CONSTELLATIONS",

abstract = "For a finite subgroup G of GLn(C), the moduli space Mθ of θ-stable G-constellations is rarely smooth. This note shows that for a group G of type (Formula Presented) (1, a, b) with r = abc + a + b, there is a generic stability parameter θ ∈ Θ such that the birational component Yθ of θ-stable G-constellations provides a resolution of the quotient singularity X:= C3/G.",

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language = "English",

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pages = "519--527",

journal = "Bulletin of the Korean Mathematical Society",

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AB - For a finite subgroup G of GLn(C), the moduli space Mθ of θ-stable G-constellations is rarely smooth. This note shows that for a group G of type (Formula Presented) (1, a, b) with r = abc + a + b, there is a generic stability parameter θ ∈ Θ such that the birational component Yθ of θ-stable G-constellations provides a resolution of the quotient singularity X:= C3/G.

KW - G-constellations

KW - quotient singularities

UR - https://www.scopus.com/pages/publications/85190703042

U2 - 10.4134/BKMS.b230215

DO - 10.4134/BKMS.b230215

M3 - Journal article

AN - SCOPUS:85190703042

SN - 1015-8634

VL - 61

SP - 519

EP - 527

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 2

ER -

RESOLUTION OF QUOTIENT SINGULARITIES VIA G-CONSTELLATIONS

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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