Comptes Rendus
Algebraic geometry
The boundary of the orbit of the 3-by-3 determinant polynomial
[La frontière de l'orbite du polynôme déterminant 3 par 3]
Comptes Rendus. Mathématique, Volume 354 (2016) no. 9, pp. 931-935.

Nous étudions le polynôme donné par le déterminant 3×3 et décrivons l'adhérence de l'ensemble des polynômes obtenus par changements de variables linéaires à partir de ce déterminant, ce qui répond à une question de Joseph M. Lansberg.

We consider the 3×3 determinant polynomial and we describe the limit points of the set of all polynomials obtained from the determinant polynomial by linear change of variables. This answers a question of Joseph M. Landsberg.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.07.002
Jesko Hüttenhain 1 ; Pierre Lairez 1

1 Technische Universität Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany
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Jesko Hüttenhain; Pierre Lairez. The boundary of the orbit of the 3-by-3 determinant polynomial. Comptes Rendus. Mathématique, Volume 354 (2016) no. 9, pp. 931-935. doi : 10.1016/j.crma.2016.07.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.07.002/

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Partially funded by the research grant BU 1371/2-2 of the Deutsche Forschungsgemeinschaft.

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