Real structures on minimal ruled surfaces

2002/01/17 by Jean-Yves Welschinger, Welschinger, Jean-Yves
Mathematics · #14J26 #14P25 #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14J26 #msc:14P25

paper · pdf · doi:10.48550/arxiv.math/0201158

24 pages, 3 figures

arxiv created 2002/01/17 · openalex publication_date 2002/01/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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