Data di Pubblicazione:
2021
Citazione:
Non-symplectic involutions on manifolds of K3[n]-type / C. Camere, A. Cattaneo, A. Cattaneo. - In: NAGOYA MATHEMATICAL JOURNAL. - ISSN 0027-7630. - 243:(2021 Sep), pp. 278-302. [10.1017/nmj.2019.43]
Abstract:
We study irreducible holomorphic symplectic manifolds deformation equivalent to Hilbert schemes of points on a K3 surface and admitting a non-symplectic involution. We classify the possible discriminant quadratic
forms of the invariant and coinvariant lattice for the action of the involution on cohomology and explicitly describe the lattices in the cases where the invariant lattice has small rank. We also give a modular description of all d-dimensional families of manifolds of K3[n]-type with a non-symplectic involution for d > 19 and n 6 5 and provide examples arising as moduli spaces of twisted sheaves on a K3 surface.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
C. Camere, A. Cattaneo, A. Cattaneo
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