Real structures on minimal ruled surfaces

Details Real structures on minimal ruled surfaces Real structures on minimal ruled surfaces

2002-01-17

arxiv.org/abs/math/0201158v1

Mathematics

Algebraic Geometry

24 pages, 3 figures

Scientific paper

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.

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