论文标题

双EPW-sextics具有A7和非理性GM三倍的动作

Double EPW-sextics with actions of A7 and irrational GM threefolds

论文作者

Billi, Simone, Wawak, Tomasz

论文摘要

我们构建了两个K3 [2]类型的投影Hyper-Kähler四倍的示例,并具有交替的A7组的作用,使其成为最对称的Hyper-Kähler四倍。它们被认为是所谓的Double EPW Sextics,这使我们能够建造一个明确的Gushel-Mukai三倍的家族。

We construct two examples of projective hyper-Kähler fourfolds of K3[2]-type with an action of the alternating group A7, making them some of the most symmetric hyper-Kähler fourfolds. They are realized as so called double EPW sextics and this allows us to construct an explicit family of irrational Gushel-Mukai threefolds.

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