52 citations · 106 across the 12 of their papers we have counts for
18 papers
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…
Projective models of Nikulin orbifolds
Chiara Camere, Alice Garbagnati, Grzegorz Kapustka +1
We study projective fourfolds of -type with a symplectic involution and the deformations of their quotients, called orbifolds of Nikulin types; they are IHS orbifolds. We…
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…
Non-symplectic automorphisms of odd prime order on manifolds of -type
Chiara Camere, Alberto Cattaneo
We classify non-symplectic automorphisms of odd prime order on irreducible holomorphic symplectic manifolds which are deformations of Hilbert schemes of any number n of points on K…
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…
Verra fourfolds, twisted sheaves and the last involution
Chiara Camere, Grzegorz Kapustka, Michal Kapustka +1
We study the geometry of some moduli spaces of twisted sheaves on K3 surfaces. In particular we introduce induced automorphisms from a K3 surface on moduli spaces of twisted sheave…
Calabi--Yau quotients of hyperkähler four-folds
Chiara Camere, Alice Garbagnati, Giovanni Mongardi
The aim of this paper is to construct Calabi-Yau 4-folds as crepant resolutions of the quotients of a hyperkähler 4-fold by a non symplectic involution . We first compute th…
Some remarks on moduli spaces of lattice polarized holomorphic symplectic manifolds
Chiara Camere
We construct quasi-projective moduli spaces of -general lattice polarized irreducible holomorphic symplectic manifolds. Moreover, we study their Baily--Borel compactification an…
Complex ball quotients from manifolds of -type
Samuel Boissière, Chiara Camere, Alessandra Sarti
We describe periods of irreducible holomorphic manifolds of -type with a non-symplectic automorphism of prime order . These turn out to lie on complex ball quoti…
Isometries of ideal lattices and hyperkähler manifolds
Samuel Boissière, Chiara Camere, Giovanni Mongardi +1
We prove that there exists a holomorphic symplectic manifold deformation equivalent to the Hilbert scheme of two points on a K3 surface that admits a non-symplectic automorphism of…
Classification of automorphisms on a deformation family of hyperkähler fourfolds by p-elementary lattices
Samuel Boissière, Chiara Camere, Alessandra Sarti
We give a classification of all non-symplectic automorphisms of prime order p acting on irreducible holomorphic symplectic fourfolds deformation equivalent to the Hilbert scheme of…
Lattice polarized irreducible holomorphic symplectic manifolds
Chiara Camere
We generalize Nikulin's and Dolgachev's lattice-theoretical mirror symmetry for K3 surfaces to lattice polarized higher dimensional irreducible holomorphic symplectic manifolds. In…
Symplectic involutions of holomorphic symplectic fourfolds
Chiara Camere
Let X be a holomorphic symplectic fourfold such that b_2=23 and i a symplectic involution of X . The fixed locus F of i is a smooth symplectic submanifold of X; we show that F cont…
About the stability of the tangent bundle of P^n restricted to a surface
Chiara Camere
Let X be a smooth projective surface over C and let L be a line bundle on X generated by its global sections. Let f:X-->P^r be the morphism associated to L and let T be the tangent…
About the stability of the tangent bundle restricted to a curve
Chiara Camere
Let C be a smooth projective curve with genus g>1 and Clifford index c(C) and let L be a line bundle on C generated by its global sections. The morphism i:C -->P(H^0(L))=P is well-…