Classification of Incidence Scrolls(I)

Mathematics – Algebraic Geometry

Scientific paper

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Latex209, 19 pages, revised and corrected version. To appear in Manuscripta Mathematica

Scientific paper

The aim of this paper is to obtain a classification of scrolls of genus 0 and
1, which are defined by a one-dimensional family of lines meeting a certain set
of linear spaces in ${\bf P}^n$. These ruled surfaces will be called incidence
scrolls and such a set will be the base of the incidence scroll. Unless
otherwise stated, we assume that the base spaces are in general position.

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