4 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 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…
Canonical rings of surfaces whose canonical system has base points
I. C. Bauer, F. Catanese, R. Pignatelli
In this paper we propose an approach to investigate the canonical rings of surfaces of general type whose canonical system has isolated base points and yields a birational map onto…
Chisini's conjecture for curves with singularities of type
Sandro Manfredini, Roberto Pignatelli
This paper is devoted to a very classical problem that can be summarized as follows: let S be a non singular compact complex surface, f:S --> P^2 a finite morphism having simple br…