On rational normal curves in projective space

• Autores: Enrico Carlini, Maria Virginia Catalisano
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 80, Nº 1, 2009, págs. 1-17
• Idioma: inglés
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• Resumen

  • In this article we consider a generalization of a well-known result by Veronese about rational normal curves. More precisely, given a collection of linear spaces in Pn, we study the existence of rational normal curves intersecting each component of the configuration maximally.We introduce different methods to show the existence and non-existence of such curves. We also show how to apply these techniques to the study of defectivity of Segre�Veronese varieties.