Syzygies of surfaces of general type

P. Banagere; Krishna Hanumanthu

doi:10.1007/s10711-012-9806-1

paper

Syzygies of surfaces of general type

arXiv:1012.4226 · doi:10.1007/s10711-012-9806-1

Abstract

We prove new results on projective normality, normal presentation and higher syzygies for a surface of general type $X$ embedded by adjoint line bundles $L_{r} = K + r B$ , 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.

29 pages. Minor corrections and some changes in exposition. To be published in Geometriae Dedicata

Cited by in corpus (1)

Linear syzygies of curves in weighted projective space