On Smooth Divisors of a Projective Hypersurface
Algebraic Geometry
2007-05-23 v1
Abstract
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 result follows from a strong (since the degree of the divisor is not involved) generalization of the "Speciality theorem" of Gruson-Peskine, which we prove to hold for any smooth, subcanonical, codimension two, projective verieties of dimension at least three.
Cite
@article{arxiv.math/0406497,
title = {On Smooth Divisors of a Projective Hypersurface},
author = {Ph. Ellia and D. Franco},
journal= {arXiv preprint arXiv:math/0406497},
year = {2007}
}