覆盖恩里克曲面的理想属和K3曲面

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2025-04-11 DOI:10.1016/j.jpaa.2025.107974

Simon Brandhorst , Serkan Sonel , Davide Cesare Veniani

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引用次数: 0

摘要

我们引入了理想属的概念，它是欧拉理想数的推广。证明了理想属的个数是有限的，并给出了一种枚举秩至少为3的理想属的算法。作为应用，我们对覆盖在Enriques曲面上的K3曲面的超越格进行了分类。

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Idoneal genera and K3 surfaces covering an Enriques surface

We introduce the notion of idoneal genera, which are a generalization of Euler's idoneal numbers. We prove that there exist only a finite number of idoneal genera, and we provide an algorithm to enumerate all idoneal genera of rank at least 3. As an application, we classify transcendental lattices of K3 surfaces covering an Enriques surface.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.