3 citations · 4 across the 3 of their papers we have counts for
7 papers
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…
On smooth surfaces in P4 containing a plane curve
Ph. Ellia, C. Folegatti
We consider smooth surfaces $S \subset \Pq$ containing a plane curve and prove some general result concerning the linear system . We then look at regular surfaces lying…
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…
A note on rational surfaces in projective four-space
Philippe Ellia
It is proved that a smooth rational surface in projective four-space, which is ruled by cubics or quartics has degree at most 12. It is also proved that a smooth rational surface i…
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…