%0 Journal Article
%A Gallego Rodrigo, Francisco Javier
%A Purnaprajna, Bangere P.
%T Some results on rational surfaces and Fano varieties.
%D 2001
%@ 0075-4102
%U https://hdl.handle.net/20.500.14352/57287
%X The goal of this article is to study the equations and syzygies of embeddings of rational surfaces and certain Fano varieties. Given a rational surface X and an ample and base-point-free line bundle L on X, we give an optimal numerical criterion for L to satisfy property N-p. This criterion turns out to be a characterization of property N-p if X is anticanonical. We also prove syzygy results for adjunction bundles and a Reider type theorem for higher syzygies
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