English

On Chern ratios for surfaces with ample cotangent bundle

Algebraic Geometry 2007-05-23 v2

Abstract

In this paper we study the problem of density in (1,3] for the Chern ratio of surfaces with ample cotangent bundle. In particular we prove density in (1,2) by constructing a family of complete intersection surfaces in a product of varieties with big cotangent bundle. We also analyse the case of complete intersections in a product of curves of genus at least 2.

Keywords

Cite

@article{arxiv.math/0508109,
  title  = {On Chern ratios for surfaces with ample cotangent bundle},
  author = {Denis Conduché and Eleonora Palmieri},
  journal= {arXiv preprint arXiv:math/0508109},
  year   = {2007}
}

Comments

10 pages, corrected typos, updated references