A characterization of <i>d</i>-uple Veronese varieties

Jeroen Schillewaert; Koen Struyve

doi:10.1016/j.crma.2015.01.002

Geometry/Algebraic geometry

A characterization of d-uple Veronese varieties
[Une caractérisation des variétés d-uples de Veronese]

Présenté par : Claire Voisin

Jeroen Schillewaert ¹ ; Koen Struyve ²

¹ Department of Mathematics, Imperial College, London, United Kingdom
² Department of Mathematics, Ghent University, Ghent, Belgium

Comptes Rendus. Mathématique, Volume 353 (2015) no. 4, pp. 333-338.

Résumé
Abstract

Nous caractérisons les plongements d-uples de Veronese d'espaces projectifs de dimension finie. L'instance non triviale la plus simple de notre théorème est le plongement du plan projectif dans un espace projectif de dimension 5, un résultat obtenu en 1901 par Severi lorsque le corps sous-jacent est le corps des nombres complexes.

We characterize d-uple Veronese embeddings of finite-dimensional projective spaces. The easiest non-trivial instance of our theorem is the embedding of the projective plane in a 5-dimensional projective space, a result obtained in 1901 by Severi when the underlying field is the field of complex numbers.

Reçu le : 2014-06-10
Accepté le : 2015-01-15
Publié le : 2015-02-07

DOI : 10.1016/j.crma.2015.01.002

Affiliations des auteurs :

Jeroen Schillewaert ¹ ; Koen Struyve ²

¹ Department of Mathematics, Imperial College, London, United Kingdom
² Department of Mathematics, Ghent University, Ghent, Belgium

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     title = {A characterization of \protect\emph{d}-uple {Veronese} varieties},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {333--338},
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     language = {en},
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Jeroen Schillewaert; Koen Struyve. A characterization of d-uple Veronese varieties. Comptes Rendus. Mathématique, Volume 353 (2015) no. 4, pp. 333-338. doi : 10.1016/j.crma.2015.01.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.01.002/

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