On rational normal curves in projective space
Algebraic Geometry
2014-02-26 v1
Abstract
In this paper we consider a generalization of a well known result by Veronese about rational normal curves. More precisely, given a collection of linear spaces in we study the existence of rational normal curves intersecting each component of the configuration maximally. We introduce different methods to show existence and non-existence of such curves. We also show how to apply these techniques to the study of defectivity of Segre-Veronese varieties.
Cite
@article{arxiv.0805.4126,
title = {On rational normal curves in projective space},
author = {E. Carlini and M. V. Catalisano},
journal= {arXiv preprint arXiv:0805.4126},
year = {2014}
}