IRREDUCIBILITY OF THE MODULI SPACE FOR THE QUOTIENT SINGULARIT 1/2k+1(k+1,1,2k)

Seung Jo Jung

doi:10.4134/BKMS.b210797

IRREDUCIBILITY OF THE MODULI SPACE FOR THE QUOTIENT SINGULARIT 1/2k+1(k+1,1,2k)

Seung Jo Jung^*

^*Corresponding author for this work

Department of Mathematics Education

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

Abstract

A 3-fold quotient terminal singularity is of the type (Formula presented), it is proved that the economic resolution of a 3-fold terminal quotient singularity is isomorphic to a distinguished component of a moduli space M_θ of θ-stable G-constellations for a suitable θ. This paper proves that each connected component of the moduli space M_θ has a torus fixed point and classifies all torus fixed points on 1 M_θ . By product, we show that for (Formula presented) case the moduli space M_θ is irreducible.

Original language	English
Pages (from-to)	1409-1422
Number of pages	14
Journal	Bulletin of the Korean Mathematical Society
Volume	59
Issue number	6
DOIs	https://doi.org/10.4134/BKMS.b210797
State	Published - 2022.11

Keywords

economic resolutions
Terminal quotient singularities

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.4134/BKMS.b210797

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title = "IRREDUCIBILITY OF THE MODULI SPACE FOR THE QUOTIENT SINGULARIT 1/2k+1(k+1,1,2k)",

abstract = "A 3-fold quotient terminal singularity is of the type (Formula presented), it is proved that the economic resolution of a 3-fold terminal quotient singularity is isomorphic to a distinguished component of a moduli space Mθ of θ-stable G-constellations for a suitable θ. This paper proves that each connected component of the moduli space Mθ has a torus fixed point and classifies all torus fixed points on 1 Mθ . By product, we show that for (Formula presented) case the moduli space Mθ is irreducible.",

keywords = "economic resolutions, Terminal quotient singularities",

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

note = "Publisher Copyright: {\textcopyright} 2022 Korean Mathematical Society.",

year = "2022",

month = nov,

doi = "10.4134/BKMS.b210797",

language = "English",

volume = "59",

pages = "1409--1422",

journal = "Bulletin of the Korean Mathematical Society",

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AU - Jung, Seung Jo

PY - 2022/11

Y1 - 2022/11

N2 - A 3-fold quotient terminal singularity is of the type (Formula presented), it is proved that the economic resolution of a 3-fold terminal quotient singularity is isomorphic to a distinguished component of a moduli space Mθ of θ-stable G-constellations for a suitable θ. This paper proves that each connected component of the moduli space Mθ has a torus fixed point and classifies all torus fixed points on 1 Mθ . By product, we show that for (Formula presented) case the moduli space Mθ is irreducible.

AB - A 3-fold quotient terminal singularity is of the type (Formula presented), it is proved that the economic resolution of a 3-fold terminal quotient singularity is isomorphic to a distinguished component of a moduli space Mθ of θ-stable G-constellations for a suitable θ. This paper proves that each connected component of the moduli space Mθ has a torus fixed point and classifies all torus fixed points on 1 Mθ . By product, we show that for (Formula presented) case the moduli space Mθ is irreducible.

KW - economic resolutions

KW - Terminal quotient singularities

UR - https://www.scopus.com/pages/publications/85143211242

U2 - 10.4134/BKMS.b210797

DO - 10.4134/BKMS.b210797

M3 - Journal article

AN - SCOPUS:85143211242

SN - 1015-8634

VL - 59

SP - 1409

EP - 1422

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 6

ER -

IRREDUCIBILITY OF THE MODULI SPACE FOR THE QUOTIENT SINGULARIT 1/2k+1(k+1,1,2k)

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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