activity
19962023
most citedA Superficial Working Guide to Deformations and Moduli

40 citations · 305 across the 87 of their papers we have counts for

collaborators

104 papers

math.AG2023

Manifolds with trivial Chern classes II: Manifolds Isogenous to a Torus Product, coframed Manifolds and a question by Baldassarri

Fabrizio Catanese

Motivated by a general question addressed by Mario Baldassarri in 1956, we discuss characterizations of the Pseudo-Abelian Varieties introduced by Roth, and we introduce a first ne…

math.AG2022

The Hesse pencil and polarizations of type on Abelian surfaces

Fabrizio Catanese, Edoardo Sernesi

In this short note we prove two theorems, the first one is a sharpening of a result of Lange and Sernesi: the discriminant curve W of a general Abelian surface endowed with an…

math.AG2022

On the components of the Main Stream of the moduli space of surfaces of general type with

Massimiliano Alessandro, Fabrizio Catanese

We give first an easy construction of surfaces with and Albanese map of degree , describing an irreducible connected component of the moduli space of surfaces o…

math.AG2022

Pluricanonical Maps and the Fujita Conjecture

Fabrizio Catanese

We describe examples showing the sharpness of Fujita's conjecture on adjoint bundles also in the general type case, and use these examples to formulate related bold conjectures on…

math.AG2022

Singularities of normal quartic surfaces III (char=2, non-supersingular)

Fabrizio Catanese, Matthias Schütt

We show that the maximal number of singular points of a normal quartic surface defined over an algebraically closed field of characteristic 2 is at m…

math.AG2022

Varieties of Nodal surfaces, coding theory and Discriminants of cubic hypersurfaces. Part 1: Generalities and nodal K3 surfaces. Part 2: Cubic Hypersurfaces, associated discriminants. Part 3: Nodal quintics. Part 4: Nodal sextics

Fabrizio Catanese, in collaboration with Yonghwa Cho, Stephen Coughlan +4

We attach two binary codes to a projective nodal surface (the strict code K and, for even degree d, the extended code K' ) to investigate the `Nodal Severi varieties F(d, n) of nod…