Fabrizio Catanese

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20012026

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math.AG2026

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

Fabrizio Catanese

In this third part we study the group $A u t_{Q} (S)$ of numerically trivial automorphisms of a non-algebraic properly elliptic surface $S$ . We treat completely the Kähler ca…

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 $(X, 0)$ be the germ of a hypersurface in $(C^{n}, 0)$ with an ordinary singularity of multip…

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 $A u t_{Z} (S)$ of cohomologically trivial automorphisms and $A u t_{Q} (S)$ of numerically trivial automo…