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arXiv · 0805.4126

On rational normal curves in projective space

E. Carlini·M. V. Catalisano
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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 $\PP^n$ 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.

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BibTeXRIS

E. Carlini, M. V. Catalisano. 2008-05-27. On rational normal curves in projective space. https://doi.org/10.1112/jlms%2Fjdp004

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