English

Bicanonical and adjoint linear systems on surfaces of general type

Algebraic Geometry 2012-08-03 v3

Abstract

This note contains a new proof of a theorem of Gang Xiao saying that the bicanonical map of a surface S of general type is generically finite if and only if the second plurigenus of S is strictly larger than 2. Such properties are also studied for adjoint linear systems |K_S+L|, where L is any divisor with at least 2 linearly independent sections.

Keywords

Cite

@article{arxiv.math/0212362,
  title  = {Bicanonical and adjoint linear systems on surfaces of general type},
  author = {Meng Chen and Eckart Viehweg},
  journal= {arXiv preprint arXiv:math/0212362},
  year   = {2012}
}

Comments

Several misleading misprints in the published form have been revised here

R2 v1 2026-07-22T16:50:37.300Z