Logarithmic Quasimaps

2023/01/03 by Shafi, Qaasim · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2301.01196

Abstract

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.

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• Enumerating log rational curves on some toric varieties

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