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Real structures on minimal ruled surfaces

Jean-Yves Welschinger
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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.

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Jean-Yves Welschinger. 2002-01-17. Real structures on minimal ruled surfaces. https://arxiv.org/abs/math/0201158

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