On Smooth Divisors of a Projective Hypersurface

Details On Smooth Divisors of a Projective Hypersurface On Smooth Divisors of a Projective Hypersurface

2004-06-24

arxiv.org/abs/math/0406497v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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