四次曲面直至保持体积等值

IF 1.2 2区数学 Q1 MATHEMATICS

Selecta Mathematica-New Series Pub Date : 2023-11-14 DOI:10.1007/s00029-023-00890-7

Tom Ducat

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引用次数: 2

摘要

摘要研究了形式为$$(\mathbb {P}^3,\Delta )$$ (p3， Δ)的对数Calabi-Yau对，其中$$\Delta $$ Δ是一个四次曲面，并对所有小于或等于1的对数Calabi-Yau对进行了分类，直到保持体积等价。特别地，如果$$(\mathbb {P}^3,\Delta )$$ (p3， Δ)是一个极大对数Calabi-Yau对，那么我们证明它具有一个环面模型。

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Quartic surfaces up to volume preserving equivalence

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Quartic surfaces up to volume preserving equivalence

Abstract We study log Calabi–Yau pairs of the form $$(\mathbb {P}^3,\Delta )$$ ( P 3 , Δ ) , where $$\Delta $$ Δ 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 $$(\mathbb {P}^3,\Delta )$$ ( P 3 , Δ ) is a maximal log Calabi–Yau pair then we show that it has a toric model.

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来源期刊

Selecta Mathematica-New Series 数学-数学

CiteScore

2.30

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Selecta Mathematica, New Series is a peer-reviewed journal addressed to a wide mathematical audience. It accepts well-written high quality papers in all areas of pure mathematics, and selected areas of applied mathematics. The journal especially encourages submission of papers which have the potential of opening new perspectives.