Vanishing theorems and syzygies for K3 surfaces and Fano varieties

摘要

In this article we prove results concerning the vanishing of Koszul cohomology groups on K3 surfaces and n-dimensional Fano varieties of index n - 2. As an application of these vanishings we obtain results on projective normality and syzygies for K3 surfaces and Fano varieties. (C) 2000 Elsevier Science B.V. All rights reserved. [References: 12]