Logarithmic Quasimaps

Fuente: arXiv
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Auteur principal: Shafi, Qaasim
Format: Preprint
Publié: 2023
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author Shafi, Qaasim
author_facet Shafi, Qaasim
contents We construct a proper moduli space which is a Deligne-Mumford stack parametrising quasimaps relative to a simple normal crossings divisor in any genus using logarithmic geometry. We show this moduli space admits a virtual fundamental class of the expected dimension leading to numerical invariants which agree with the theory of Battistella-Nabijou where the latter is defined.
format Preprint
id arxiv_https___arxiv_org_abs_2301_01196
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Logarithmic Quasimaps
Shafi, Qaasim
Algebraic Geometry
We construct a proper moduli space which is a Deligne-Mumford stack parametrising quasimaps relative to a simple normal crossings divisor in any genus using logarithmic geometry. We show this moduli space admits a virtual fundamental class of the expected dimension leading to numerical invariants which agree with the theory of Battistella-Nabijou where the latter is defined.
title Logarithmic Quasimaps
topic Algebraic Geometry
url https://arxiv.org/abs/2301.01196