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On rational normal curves in projective space
- Publication Year :
- 2008
-
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.
- Subjects :
- Mathematics - Algebraic Geometry
14H45
14N20
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0805.4126
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1112/jlms/jdp004