1 citations · 1 across the 3 of their papers we have counts for
7 papers
A speciality theorem for curves in
Vincenzo Di Gennaro, Davide Franco
Let be an integral projective curve. One defines the speciality index of as the maximal integer such that , where denote…
Smooth Divisors of Projective Hypersurfaces
Philippe Ellia, Davide Franco, Laurent Gruson
We work over an algebraically closed field of arbitrary characteristic. Ellingsrud-Peskine proved that smooth surfaces in P^4 are subject to strong limitations. Their whole argumen…
On Smooth Divisors of a Projective Hypersurface
Ph. Ellia, D. Franco
We prove an effective bound for the degree of a smooth divisor of a hypersurface of P^n, n>4 (projective space over an algebraically closed field of characteristic zero). Our resul…
Gherardelli linkage and complete intersections
Davide Franco, Steven L. Kleiman, Alexandru T. Lascu
Our main theorem characterizes the complete intersections of codimension 2 in a projective space of dimension 3 or more over an algebraically closed field of characteristic 0 as th…
On codimension two subvarieties of P6
Philippe Ellia, Davide Franco
We prove the following: (a) Let X be a smooth, codimension two subvariety of P6. If X lies on a hyperquintic or if deg(X)<74, then X is a complete intersection. (b) Let X be a smoo…
On smooth surfaces in projective four-space lying on quartic hypersurfaces with isolated singularities
Ph. Ellia, D. Franco
We prove that a smooth surface, non of general type, in projective four-space, which lies on a quartic hypersurface with isolated singularities has degree at most 27 (in fact we pr…