Logarithmic Quasimaps
Algebraic Geometry
2024-01-15 v2
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.
Cite
@article{arxiv.2301.01196,
title = {Logarithmic Quasimaps},
author = {Qaasim Shafi},
journal= {arXiv preprint arXiv:2301.01196},
year = {2024}
}
Comments
Final version to appear in Advances in Mathematics