Logarithmic Quasimaps

Qaasim Shafi

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arXiv · 2301.01196

Logarithmic Quasimaps

Qaasim Shafi

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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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BibTeX RIS

Qaasim Shafi. 2023-01-03. Logarithmic Quasimaps. https://arxiv.org/abs/2301.01196

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