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

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.

preprint2018arXivOpen access
Samuel BoissiereAndrea CattaneoDimitri MarkushevichAlessandra Sarti
math.AG
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Open access4 authors1 topic
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Samuel BoissiereAndrea CattaneoDimitri MarkushevichAlessandra Sarti

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