On the nonsymplectic involutions of the Hilbert square of a K3 surface
- 作者: Boissière S.1, Cattaneo A.2, Markushevich D.G.3, Sarti A.1
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隶属关系:
- Université de Poitiers
- Institut Camille Jordan, Université Claude Bernard Lyon 1
- Université de Lille
- 期: 卷 83, 编号 4 (2019)
- 页面: 86-99
- 栏目: Articles
- URL: https://bakhtiniada.ru/1607-0046/article/view/133784
- DOI: https://doi.org/10.4213/im8823
- ID: 133784
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详细
We investigate the interplay between the moduli spaces of ample $\langle 2\rangle$-polarized IHS manifolds of type $\mathrm{K3}^{[2]}$and of IHS manifolds of type $\mathrm{K3}^{[2]}$ with a non-symplecticinvolution with invariant lattice of rank one. In particular, wedescribe geometrically some new involutions of the Hilbert square of a K3 surface whose existence was proven in a previous paper ofBoissière, Cattaneo, Nieper-Wisskirchen, and Sarti.
作者简介
Samuel Boissière
Université de Poitiers
Email: samuel.boissiere@math.univ-poitiers.fr
Andrea Cattaneo
Institut Camille Jordan, Université Claude Bernard Lyon 1
Email: cattaneo@math.univ-lyon1.fr
Dmitri Markushevich
Université de Lille
Alessandra Sarti
Université de Poitiers
Email: sarti@math.univ-poitiers.fr
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