Benedetta Piroddi

activity

20222024

collaborators

3 papers

math.AG2024

K3 surfaces with a symplectic action of $(Z /2 Z)^{2}$

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…

math.AG2023

On the transcendental lattices of Hyperkähler manifolds

Benedetta Piroddi, Ángel David Ríos Ortiz

We introduce the notion of a Hyper-Kähler manifold $X$ induced by a Hodge structure of K3-type. We explore this notion for the known deformation types of hyper-Kähler manifolds stu…

math.AG2022

K3 surfaces with a symplectic automorphism of order 4

Benedetta Piroddi

Given $X$ a K3 surface admitting a symplectic automorphism $τ$ of order 4, we describe the isometry $τ^{*}$ on $H^{2} (X, Z)$ . Having called $Z ~$ and $Y ~$ respectivel…

K3 surfaces with a symplectic action of (Z/2Z)2

On the transcendental lattices of Hyperkähler manifolds

K3 surfaces with a symplectic automorphism of order 4

K3 surfaces with a symplectic action of $(Z /2 Z)^{2}$