3 citations · 3 across the 9 of their papers we have counts for
12 papers · 1 filter
Algebraic entropy of birational automorphism groups in families of hyper-Kähler manifolds
Francesco Antonio Denisi, Keiji Oguiso, Claudio Onorati +2
In this short note, we study the behavior of the algebraic entropy of birational automorphism groups in families of projective hyper-Kähler manifolds.
Canonical extensions of ruled surfaces over elliptic curves
Francesco Antonio Denisi, Andreas Höring
Let be a line bundle of negative degree on an elliptic curve . While the ruled surface is one of the simplest varieties in algebraic…
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…
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.
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 p…
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…
Birational geometry of hypersurfaces in products of weighted projective spaces
Francesco Antonio Denisi
We study the birational geometry of hypersurfaces in products of weighted projective spaces, extending results previously established by J. C. Ottem. For most cases where these hyp…
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…
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 dimension…
Asymptotic base loci on hyper-Kähler manifolds
Francesco Antonio Denisi, Ángel David Ríos Ortiz
Given a projective hyper-Kähler manifold , we study the asymptotic base loci of big divisors on . We provide a numerical characterization of these loci and study how they var…
Pseudo-effective classes on projective irreducible holomorphic symplectic manifolds
Francesco Antonio Denisi
We show that Kovács' result on the cone of curves of a K3 surface generalizes to any projective irreducible holomorphic symplectic manifold . In particular, we show that if $ρ(X…
Boucksom-Zariski and Weyl chambers on irreducible holomorphic symplectic manifolds
Francesco Antonio Denisi
Inspired by the work of Bauer, Küronya, and Szemberg, we provide for the big cone of a projective irreducible holomorphic symplectic (IHS) manifold a decomposition into chambers (w…