Alice Garbagnati

collaborators

4 papers

math.AG2026

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 $K 3$ surface $S$ by a symplectic involution $I^_{S}^{1}$ . Equivalently, it is the $2$ -dimensional component of the fixed…

math.AG2026

Singular symplectic surfaces

Alice Garbagnati, Matteo Penegini, Arvid Perego

In this paper we classify all singular irreducible symplectic surfaces, i.e., compact, connected complex surfaces with canonical singularities that have a holomorphic symplectic fo…

math.AG2026

Specializations of symplectic and van Geemen--Sarti involutions on K3 surfaces

Alice Garbagnati

Given a symplectic involution $I^^{1}$ on a K3 surface $X$ , the desingularization $Y$ of $X / I^^{1}$ is still a K3 surface, which in general has a different NÃ©ron--Severi group. Neverthele…

math.AG2026

Rank jumps and Multisections of elliptic fibrations on K3 surfaces

Alice Garbagnati, CecÃlia Salgado

We consider the countably many families $L_{d}$ , $d \in N_{\geq 2}$ , of K3 surfaces admitting an elliptic fibration with positive Mordell--Weil rank. We prove that t…