Mauro Fortuna

collaborators

4 papers

math.AG2020

Cohomology of the moduli space of degree two Enriques surfaces

Mauro Fortuna

We compute the intersection Betti numbers of the GIT model of the moduli space of numerically polarized Enriques surfaces of degree 2. The strategy of the cohomological calculation…

math.AG2020

Unirational moduli spaces of some elliptic K3 surfaces

Mauro Fortuna, Michael Hoff, Giacomo Mezzedimi

We show that the moduli space of $U \oplus ⟨ - 2 k ⟩$ -polarized K3 surfaces is unirational for $k \leq 50$ and $k \in / {11, 35, 42, 48}$ , and for other several values of $…

math.AG2020

The Kodaira dimension of some moduli spaces of elliptic K3 surfaces

Mauro Fortuna, Giacomo Mezzedimi

We study the moduli spaces of elliptic K3 surfaces of Picard number at least 3, i.e. $U \oplus ⟨ - 2 k ⟩$ -polarized K3 surfaces. Such moduli spaces are proved to be of gen…

math.AG2018

Cohomology of the moduli space of non-hyperelliptic genus four curves

Mauro Fortuna

We compute the intersection Betti numbers of the GIT model of the moduli space of Brill-Noether-Petri general curves of genus 4. This space was shown to be the final non-trivial lo…