Linear systems representing threefolds which are scrolls on a rational surface

1998/11/12 by Emilia Mezzetti, Mezzetti, Emilia, Dario Portelli +1
Mathematics · #14C20 #14J30 #14M07 #14M20 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C20 #msc:14J30 #msc:14M07 #msc:14M20

paper · pdf · doi:10.48550/arxiv.math/9811083

14 pages, Plain-TeX, to be published in Collectanea Mathematica

arxiv created 1998/11/12 · openalex publication_date 1998/11/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a scroll over a rational surface. We construct a linear system of surfaces in P³ yielding a birational map from P³ to X. We apply this construction to the scrolls of Bordiga and Palatini.

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