%0 Journal Article
%T Syzygies of surfaces of general type
%A P. Banagere
%A Krishna Hanumanthu
%J Mathematics
%D 2010
%I arXiv
%R 10.1007/s10711-012-9806-1
%X We prove new results on projective normality, normal presentation and higher syzygies for a surface of general type $X$ embedded by adjoint line bundles $L_r = K + rB$, where $B$ is a base point free, ample line bundle. Our main results determine the $r$ for which $L_r$ has $N_p$ property. In corollaries, we will relate the bounds on $r$ to the regularity of $B$. Examples in the last section show that several results are optimal.
%U http://arxiv.org/abs/1012.4226v2