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Mathematics > Algebraic Geometry

arXiv:1805.10481 (math)
[Submitted on 26 May 2018]

Title:On the nonsymplectic involutions of the Hilbert square of a K3 surface

Authors:Samuel Boissiere, Andrea Cattaneo, Dimitri Markushevich, Alessandra Sarti
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Abstract: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 nonsymplectic involution with invariant lattice of rank one. In particular we geometrically describe some new involutions of the Hilbert square of a K3 surface, whose existence was proven in a previous work of Boissiere, Cattaneo, Nieper-Wisskirchen and Sarti.
Subjects: Algebraic Geometry (math.AG)
Cite as: arXiv:1805.10481 [math.AG]
  (or arXiv:1805.10481v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1805.10481
Related DOI: https://doi.org/10.1070/IM8823

Submission history

From: Samuel Boissiere [view email]
[v1] Sat, 26 May 2018 13:10:33 UTC (14 KB)
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