6 papers
Coble type hypersurfaces and hyperkähler fourfolds
Benedetta Piroddi, Ángel David Ríos Ortiz, Andrés Rojas +1
A classical result, already observed by Coble, asserts that a genus 2 Jacobian can be embedded in as the singular locus of a unique cubic hypersurface; similarly, the…
A symplectic fourfold
Maria Donten-Bury, Grzegorz Kapustka, Benedetta Piroddi +1
We present a method to construct irreducible symplectic varieties by studying terminalisations of quotient of hyper-Kähler manifolds by non-natural group actions. In particular, we…
Symplectic actions of groups of order 4 on K3^[2]-type manifolds, and standard involutions on Nikulin-type orbifolds
Benedetta Piroddi
Given a K3^[2]-type manifold X with a symplectic involution i, the quotient X/i admits a Nikulin orbifold Y as terminalization. We study the symplectic action of a group G of order…
K3 surfaces with a symplectic action of
Benedetta Piroddi
We study the symplectic action of the group (Z/2Z)^2 on a K3 surface X: we describe its action on H^2(X,Z) and the maps induced in cohomology by the rational quotient maps; we give…
On the transcendental lattices of Hyperkähler manifolds
Benedetta Piroddi, Ángel David Ríos Ortiz
We introduce the notion of a Hyper-Kähler manifold induced by a Hodge structure of K3-type. We explore this notion for the known deformation types of hyper-Kähler manifolds stu…
K3 surfaces with a symplectic automorphism of order 4
Benedetta Piroddi
Given a K3 surface admitting a symplectic automorphism of order 4, we describe the isometry on . Having called and respectivel…