33 citations · 70 across the 13 of their papers we have counts for
17 papers · 1 filter
Fibrations of low genus, I
Fabrizio Catanese, Roberto Pignatelli
In the present paper we consider fibrations $f: S \ra B$ of an algebraic surface onto a curve , with general fibre a curve of genus . Our main results are: 1) A structure the…
The 3-cuspidal quartic and braid monodromy of degree 4 coverings
Fabrizio Catanese, Bronislaw Wajnryb
We study the discriminant of a degree 4 extension given by a deformed bidouble cover, i.e., by equations z^2= u + a w, w^2= v + bz. We first show that the discriminant surface is a…
The moduli space of surfaces with
Ingrid C. Bauer, Fabrizio M. E. Catanese, Roberto Pignatelli
In this paper we answer a question posed by Horikawa in 1978, who showed that the above moduli space is composed of 11 locally closed strata building up 4 irreducible components an…
Beauville surfaces without real structures, I
Ingrid Bauer, Fabrizio Catanese, Fritz Grunewald
Inspired by a construction by Arnaud Beauville of a surface of general type with , the second author defined the Beauville surfaces as the surfaces which are rigid…
Diffeomorphism of simply connected algebraic surfaces
Fabrizio Catanese, Bronislaw Wajnryb
In this paper we show that even in the case of simply connected minimal algebraic surfaces of general type, deformation and differentiable equivalence do not coincide. Exhibiting s…
Symmetry and Variation of Hodge Structures
Ingrid C. Bauer, Fabrizio M. E. Catanese
The main problem addressed in the paper is the Torelli problem for n-dimensional varieties of general type, more specifically for varieties with ample canonical bundle. It asks und…