English

An example of a non-algebraizable singularity

Complex Variables 2017-02-13 v1

Abstract

We say that the the germ of a singular holomorphic foliation on (C2,0)(\mathbb{C}^2,0) is algebraizable whenever it is holomorphically conjugate to the singularity of a foliation defined globally on a projective algebraic surface. The object of this work is to construct a concrete example of a non--algebraizable singularity. Previously only existential results were known.

Keywords

Cite

@article{arxiv.1409.1856,
  title  = {An example of a non-algebraizable singularity},
  author = {Valente Ramirez},
  journal= {arXiv preprint arXiv:1409.1856},
  year   = {2017}
}

Comments

5 pages

R2 v1 2026-06-22T05:49:49.709Z