Classification of Incidence Scrolls(I)

Abstract

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 ${\mathbf{P}}^n$. 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.

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