Properness for scaled gauged maps

Eduardo González; Pablo Solis; Chris T. Woodward

doi:10.1016/j.jalgebra.2017.06.015

Properness for scaled gauged maps

Eduardo González, Pablo Solis, Chris T. Woodward

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We prove properness of moduli stacks of gauged maps satisfying a stability condition introduced by Mundet [40], Schmitt [46] and Ziltener [57]. The proof combines a git construction of Schmitt [46], properness for twisted stable maps by Abramovich–Vistoli [1], a variation of a boundedness argument due to Ciocan–Fontanine–Kim–Maulik [13], and a removal of singularities for bundles on surfaces in Colliot–Thélène–Sansuc [14].

Original language	English (US)
Pages (from-to)	104-157
Number of pages	54
Journal	Journal of Algebra
Volume	490
DOIs	https://doi.org/10.1016/j.jalgebra.2017.06.015
State	Published - Nov 15 2017

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Equivariant and gauged Gromov–Witten theory
Git quotients
Lie theory

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10.1016/j.jalgebra.2017.06.015

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title = "Properness for scaled gauged maps",

abstract = "We prove properness of moduli stacks of gauged maps satisfying a stability condition introduced by Mundet [40], Schmitt [46] and Ziltener [57]. The proof combines a git construction of Schmitt [46], properness for twisted stable maps by Abramovich–Vistoli [1], a variation of a boundedness argument due to Ciocan–Fontanine–Kim–Maulik [13], and a removal of singularities for bundles on surfaces in Colliot–Th{\'e}l{\`e}ne–Sansuc [14].",

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doi = "10.1016/j.jalgebra.2017.06.015",

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AU - González, Eduardo

AU - Solis, Pablo

AU - Woodward, Chris T.

PY - 2017/11/15

Y1 - 2017/11/15

N2 - We prove properness of moduli stacks of gauged maps satisfying a stability condition introduced by Mundet [40], Schmitt [46] and Ziltener [57]. The proof combines a git construction of Schmitt [46], properness for twisted stable maps by Abramovich–Vistoli [1], a variation of a boundedness argument due to Ciocan–Fontanine–Kim–Maulik [13], and a removal of singularities for bundles on surfaces in Colliot–Thélène–Sansuc [14].

AB - We prove properness of moduli stacks of gauged maps satisfying a stability condition introduced by Mundet [40], Schmitt [46] and Ziltener [57]. The proof combines a git construction of Schmitt [46], properness for twisted stable maps by Abramovich–Vistoli [1], a variation of a boundedness argument due to Ciocan–Fontanine–Kim–Maulik [13], and a removal of singularities for bundles on surfaces in Colliot–Thélène–Sansuc [14].

KW - Equivariant and gauged Gromov–Witten theory

KW - Git quotients

KW - Lie theory

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SN - 0021-8693

VL - 490

SP - 104

EP - 157

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Properness for scaled gauged maps

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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