activity
20242026
collaborators

10 papers

math.AG2026

Remarks on hypersurfaces in

Francesco Antonio Denisi, Antonio Laface

We study the birational geometry of hypersurfaces in projective varieties of the form , where satisfies mild assumptions. Building on recent results of He…

math.AG2026

MMP for Enriques pairs and singular Enriques varieties

Francesco Antonio Denisi, Ángel David Ríos Ortiz, Nikolaos Tsakanikas +1

We introduce and study the class of primitive Enriques varieties, whose smooth members are Enriques manifolds. We provide several examples and we demonstrate that this class is sta…

math.AG2026

Birational automorphism groups in families of hyper-Kähler manifolds

Francesco Antonio Denisi, Claudio Onorati, Francesca Rizzo +1

We study the behavior of birational automorphism groups in families of projective hyper-Kähler manifolds.

math.AG2025

Deformations of primitive Enriques varieties

Francesco Antonio Denisi, Nikolaos Tsakanikas, Zhixin Xie

We develop the deformation theory of primitive Enriques varieties, which are defined as quasi-étale quotients of primitive symplectic varieties by nonsymplectic group actions. In…

math.AG2025

Weighted four-dimensional Fano hypersurfaces of K3 type

Valeria Bertini, Francesco Antonio Denisi, Enrico Fatighenti +1

We study weighted Fano fourfolds of K3 type realized as hypersurfaces in weighted projective spaces. Under the additional assumption that the singular locus has dimension at most o…

math.AG2025

Polygons of Newton-Okounkov type on irreducible holomorphic symplectic manifolds

Francesco Antonio Denisi

Let be a projective irreducible holomorphic symplectic manifold. We associate with any big -divisor on a convex polygon of dimensio…