Syzygies of surfaces of general type

Details Syzygies of surfaces of general type Syzygies of surfaces of general type

2010-12-20

arxiv.org/abs/1012.4226v1

Mathematics

Algebraic Geometry

28 pages

Scientific paper

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.

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