Gallego Rodrigo, Francisco JavierPurnaprajna, Bangere P.2023-06-202023-06-2020000022-404910.1016/S0022-4049(98)00097-8https://hdl.handle.net/20.500.14352/57294In 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.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022404998000978http://www.sciencedirect.com/restricted access512.7Vanishing theoremsSyzygiesK3 surfaceFano n-foldsLine bundleGeometria algebraica1201.01 Geometría Algebraica