activity
20242026
collaborators

6 papers

math.AG2026

Numerically trivial automorphisms of elliptic surfaces III: the non-algebraic case

Fabrizio Catanese

In this third part we study the group of numerically trivial automorphisms of a non-algebraic properly elliptic surface . We treat completely the Kähler c…

math.AG2026

A remark on isolated complex hypersurface singularities

Fabrizio Catanese, Ciro Ciliberto, Concettina Galati

This is now an expository note about the following classical problem. Let be the germ of a hypersurface in with an ordinary singularity of multip…

math.AG2026

On the numerically and cohomologically trivial automorphisms of elliptic surfaces II:

Fabrizio Catanese, Wenfei Liu, Matthias Schütt

In this second part we study first the group of numerically trivial automorphisms of an algebraic properly elliptic surface , that is, of a minimal algebrai…

math.AG2026

Cohomologically or numerically trivial automorphisms of surfaces of general type

Fabrizio Catanese, Davide Frapporti

Our main result is the determination of the respective groups of cohomologically trivial automorphisms and of numerically trivial automo…

math.AG2025

Odd fake -homology quadrics exist

Fabrizio Catanese

We show the existence of odd fake -homology quadrics, namely of minimal surfaces of general type which have the same -homology as a smooth quadric $Q \c…

math.AG2024

On the cohomologically trivial automorphisms of elliptic surfaces I:

Fabrizio Catanese, Davide Frapporti, Christian Gleissner +2

In this first part we describe the group of cohomologically trivial automorphisms of a properly elliptic surface (a minimal surface with Kodaira dimension…