1 citations · 2 across the 3 of their papers we have counts for
4 papers · 1 filter
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 subcanonical surfaces of P^4
Ph. Ellia, D. Franco, L. Gruson
We prove that a smooth, subcanonical surface of P^4 (projective space over an algebraically closed field of characteristic zero) is complete intersection if it is contained in a qu…
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…