Simone Pesatori

collaborators

3 papers

math.AG2025

Severi varieties on Enriques surfaces of base change type and on rational elliptic surfaces

Simone Pesatori

If an irreducible curve on the very general Enriques surface splits in the K3 cover, its preimage consists of two linearly equivalent irreducible curves. We prove the nonemptiness…

math.AG2025

Singular rational curves on Enriques surfaces

Simone Pesatori

We show that for every $k \in Z_{+}$ , with $k \equiv_{4} 1$ , the very general Enriques surface admits rational curves of arithmetic genus $k$ with $I ¨ $ -invariant equal to 2.

math.AG2024

Nodal rational curves on Enriques surfaces of base change type

Simone Pesatori

Using lattice theory, Hulek and SchÃ¼tt proved that for every $m \in Z_{+}$ there exists a nine-dimensional family $F_{m}$ of K3 surfaces covering Enriques surfaces ha…