On the non-symplectic involutions of the Hilbert square of a K3 surface

被引：3

作者：

Boissiere, S. ^{[1
]}

Cattaneo, A. ^{[2
]}

Markushevich, D. G. ^{[3
]}

Sarti, A. ^{[1
]}

机构：

[1] Univ Poitiers, Lab Math & Applicat, Poitiers, France

[2] Univ Claude Bernard Lyon 1, Inst Camille Jordan, Villeurbanne, France

[3] Univ Lille, Lab Paul Painleve, Lille, France

来源：

IZVESTIYA MATHEMATICS | 2019年 / 83卷 / 04期

关键词：

irreducible holomorphic symplectic manifolds; non-symplectic automorphisms; ample cone; MODULI SPACES; MONODROMY; MANIFOLDS; 4-FOLDS;

D O I：

10.1070/IM8823

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the interplay between the moduli spaces of ample (2)-polarized IHS manifolds of type K3([2]) and of IHS manifolds of type K3([2]) with a non-symplectic involution with invariant lattice of rank one. In particular, we describe geometrically some new involutions of the Hilbert square of a K3 surface whose existence was proven in a previous paper of Boissiere, Cattaneo, Nieper-Wisskirchen, and Sarti.

引用

页码：731 / 742

页数：12

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