English

Real structures on minimal ruled surfaces

Algebraic Geometry 2007-05-23 v1

Abstract

In this paper, we give a complete description of the deformation classes of real structures on minimal ruled surfaces. In particular, we show that these classes are determined by the topology of the real structure, which means that real minimal ruled surfaces are quasi-simple. As an intermediate result, we obtain the classification, up to conjugation, of real structures on decomposable ruled surfaces.

Keywords

Cite

@article{arxiv.math/0201158,
  title  = {Real structures on minimal ruled surfaces},
  author = {Jean-Yves Welschinger},
  journal= {arXiv preprint arXiv:math/0201158},
  year   = {2007}
}

Comments

24 pages, 3 figures