%0 Journal Article
%A Gallego Rodrigo, Francisco Javier
%A Purnaprajna, Bangere P.
%T Syzygies of projective surfaces: an overview
%D 1999
%@ 0970-1249
%U https://hdl.handle.net/20.500.14352/58473
%X This is a survey article concerning the syzygies of projective smooth varieties, with particular emphasis on the surface case. It describes some special cases of surfaces in which the so-called Mukai conjecture holds (namely, if KX is the canonical bundle and A is an ample line bundle then the conjecture says that KX+mA satisfies the Np-property for m≥p+4). In higher dimension the case of Calabi-Yau threefolds and the example of the Veronese embedding of Pn are considered.
%~