Koszul cohomology and the geometry of projective varieties. II

Abstract

Table of Contents 0. Introduction 279 1. Algebraic preliminaries 280 (a) Truncated symmetric algebras 280 (b) Change of base 282 2. Koszul cohomology of powers of the hyperplane bundle on projective space 28 3 3. Koszul cohomology of sufficiently ample bundles 286 4. An improvement of the Noether-Lefschetz Theorem for surfaces in P 3 287