RT Journal Article T1 Vanishing theorems and syzygies for K3 surfaces and Fano varieties. A1 Gallego Rodrigo, Francisco Javier A1 Purnaprajna, Bangere P. AB 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. PB Elsevier Science B.V. (North-Holland) SN 0022-4049 YR 2000 FD 2000 LK https://hdl.handle.net/20.500.14352/57294 UL https://hdl.handle.net/20.500.14352/57294 LA eng DS Docta Complutense RD 9 abr 2025