Nous étudions le polynôme donné par le déterminant 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 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.
Accepté le :
Publié le :
Jesko Hüttenhain 1 ; Pierre Lairez 1
@article{CRMATH_2016__354_9_931_0, author = {Jesko H\"uttenhain and Pierre Lairez}, title = {The boundary of the orbit of the 3-by-3 determinant polynomial}, journal = {Comptes Rendus. Math\'ematique}, pages = {931--935}, publisher = {Elsevier}, volume = {354}, number = {9}, year = {2016}, doi = {10.1016/j.crma.2016.07.002}, language = {en}, }
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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