Syzygies of surfaces of general type

P. Banagere; Krishna Hanumanthu

doi:10.1007/s10711-012-9806-1

Syzygies of surfaces of general type

Algebraic Geometry 2012-12-14 v2

Authors: P. Banagere , Krishna Hanumanthu

View on arXiv ↗ PDF ↗ DOI ↗

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 $L_r = K + rB$ , 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.

Keywords

syzygies surfaces of general type adjoint line bundles projective normality n_p property regularity

Cite

@article{arxiv.1012.4226,
  title  = {Syzygies of surfaces of general type},
  author = {P. Banagere and Krishna Hanumanthu},
  journal= {arXiv preprint arXiv:1012.4226},
  year   = {2012}
}

Comments

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

Syzygies of surfaces of general type

Abstract

Keywords

Cite

Comments

Related papers