arXiv subjects

Filippo Papallo

Publications and source records attributed to Filippo Papallo.

2 recordsLinked to original sources

arXiv2026

Weak Brill-Noether bundles on nodal Enriques surfaces

We study the weak Brill--Noether problem for vector bundles on nodal Enriques surfaces by exploiting the classical realization of a nodal Enriques surface $X$ as a Reye congruence in the Grassmannian $\operatorname{Gr}(2,4)$. We consider restrictions of irreducible homogeneous bundles from the ambient Grassmannian and study their behavior with respect to the weak Brill--Noether property and slope stability.

math.AG↗

arXiv2025

Inducing coverings on Hilbert schemes

We find an explicit geometric description of all coverings of the Hilbert square on a normal, complex, quasi-projective surface with finite fundamental group. We then apply this construction to show that if $\Sigma$ is an irreducible symplectic surface then its Hilbert square is an irreducible symplectic variety.

math.AG↗