English

Degeneracy of holomorphic maps via orbifolds

Algebraic Geometry 2009-03-18 v1 Complex Variables

Abstract

We use orbifold structures to deduce degeneracy statements for holomorphic maps into logarithmic surfaces. We improve former results in the smooth case and generalize them to singular pairs. In particular, we give applications on nodal surfaces and complements of singular plane curves.

Keywords

Cite

@article{arxiv.0903.3034,
  title  = {Degeneracy of holomorphic maps via orbifolds},
  author = {Erwan Rousseau},
  journal= {arXiv preprint arXiv:0903.3034},
  year   = {2009}
}

Comments

19 pages