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 $K3$ surface $S$ by a symplectic involution ${\iota }_S$. Equivalently, it is the $2$-dimensional component of the fixed l…