English

Pluricanonical systems on surfaces with small K^2

Algebraic Geometry 2007-05-23 v1

Abstract

We prove that the bicanonical system on a surface of general type with K^2=4 has no base components and describe clusters contracted by 4K_X for a numerical Godeaux surface and 3K_X for a numerical Campedelli surface.

Keywords

Cite

@article{arxiv.math/9802099,
  title  = {Pluricanonical systems on surfaces with small K^2},
  author = {Adrian Langer},
  journal= {arXiv preprint arXiv:math/9802099},
  year   = {2007}
}

Comments

10 pages in AMS-TeX