Another classification of incidence scrolls

Abstract

The aim of this paper is the computation of the degree and genus of all incidence scrolls in IP n . For this, we fix the dimension of a linear space which must be contained in the base of an incidence scroll. Then we will find all the incidence scrolls which have a base space of this fixed dimension. In this way, we can obtain all the incidence scrolls with a line as directrix curve, those whose base contains a plane, and so on.