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The Projective Theory of Ruled Surfaces

2000/06/27 by Luis Fuentes Garcia, Luis Fuentes García, Garcia, Luis Fuentes +3
Mathematics · #14H25 #14H45 #14J26 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Primary #math.AG #msc:14H25 #msc:14H45 #msc:14J26 #secondary

paper · pdf · doi:10.48550/arxiv.math/0006204

40 pages

openalex publication_date 2000/06/27 · arxiv created 2002/03/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to get some results about ruled surfaces which configure a projective theory of scrolls and ruled surfaces. Our ideas follow the viewpoint of Corrado Segre, but we employ the contemporaneous language of locally free sheaves. The results complete the exposition given by R. Hartshorne and they have not appeared before in the contemporaneous literature.

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