English

Canonical surfaces with big cotangent bundle

Algebraic Geometry 2015-01-14 v1 Complex Variables

Abstract

Surfaces of general type with positive second Segre number are known to have big cotangent bundle. We give a new criterion ensuring that a surface of general type with canonical singularities has a minimal resolution with big cotangent bundle. This provides many examples of surfaces with negative second Segre number and big cotangent bundle.

Keywords

Cite

@article{arxiv.1303.3377,
  title  = {Canonical surfaces with big cotangent bundle},
  author = {Xavier Roulleau and Erwan Rousseau},
  journal= {arXiv preprint arXiv:1303.3377},
  year   = {2015}
}

Comments

11 pages. Comments welcome

R2 v1 2026-06-21T23:41:52.587Z