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arXiv · 2212.02151

Quartic surfaces up to volume preserving equivalence

Tom Ducat
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Abstract

We study log Calabi--Yau pairs of the form $(\mathbb{P}^3,\Delta)$, where $\Delta$ is a quartic surface, and classify all such pairs of coregularity less than or equal to one, up to volume preserving equivalence. In particular, if $(\mathbb{P}^3,\Delta)$ is a maximal log Calabi--Yau pair then we show that it has a toric model.

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Tom Ducat. 2022-12-05. Quartic surfaces up to volume preserving equivalence. https://arxiv.org/abs/2212.02151

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