Comptes Rendus
no. 4
Geometry/Algebraic geometry
A characterization of d-uple Veronese varieties
[Une caractérisation des variétés d-uples de Veronese]

Présenté par : Claire Voisin

Jeroen Schillewaert1 ; Koen Struyve2
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.

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 :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.01.002
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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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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