在Prym品种中含有平面和纤维的三次四倍的中间雅可比纤维

IF 0.3 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2025-01-11 DOI:10.1007/s12188-024-00285-1

Dominique Mattei

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引用次数: 0

摘要

我们给出了附着在包含平面的一般复三次四重X上的中间雅可比颤振的拉格朗日亚颤振描述为与X相关的K3表面上直至覆盖的扭转轴模空间的拉格朗日亚颤振。为此，我们提出了Prym品种中的拉格朗日颤振的一般构造，即K3曲面上线性系统中某些节点曲线上的Beauville-Mukai系统的亚颤振。

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The intermediate jacobian fibration of a cubic fourfold containing a plane and fibrations in Prym varieties

We give a description of the intermediate Jacobian fibration attached to a general complex cubic fourfold X containing a plane as a Lagrangian subfibration of a moduli space of torsion sheaves on the K3 surface associated to X up to a cover. To do so, we propose a general construction of Lagrangian fibrations in Prym varieties as subfibrations of Beauville–Mukai systems over some loci of nodal curves in linear systems on K3 surfaces.

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来源期刊

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.