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Generalized Nikulin surfaces and irreducible symplectic fourfolds
Chiara Camere, Alice Garbagnati, Grzegorz Kapustka +1
A Nikulin surface is the minimal resolution of the quotient of a surface by a symplectic involution . Equivalently, it is the -dimensional component of the fixed l…
Irreducible symplectic varieties via relative Prym varieties
Emma Brakkee, Chiara Camere, Annalisa Grossi +3
Generalizing work of Markushevich--Tikhomirov and Arbarello--Saccà--Ferretti, we use relative Prym varieties to construct Lagrangian fibered symplectic varieties in infinitely many…
On certain isogenies between K3 surfaces
Chiara Camere, Alice Garbagnati
The aim of this paper is to construct "special" isogenies between K3 surfaces, which are not Galois covers between K3 surfaces, but are obtained by composing cyclic Galois covers,…
Non-symplectic involutions on manifolds of -type
Chiara Camere, Alberto Cattaneo, Andrea Cattaneo
We study irreducible holomorphic symplectic manifolds deformation equivalent to Hilbert schemes of points on a surface and admitting a non-symplectic involution. We classify t…
On the Chow ring of certain Lehn-Lehn-Sorger-van Straten eightfolds
Chiara Camere, Alberto Cattaneo, Robert Laterveer
We consider a -dimensional family of Lehn-Lehn-Sorger-van Straten hyperkähler eightfolds which have a non-symplectic automorphism of order . Using the theory of finite-dimen…
Cubic threefolds and hyperkähler manifolds uniformized by the 10-dimensional complex ball
Samuel Boissière, Chiara Camere, Alessandra Sarti
We first prove an isomorphism between the moduli space of smooth cubic threefolds and the moduli space of hyperkaehler fourfolds of K3^{[2]}-type with a non-symplectic automorphism…