[La frontière de l'orbite du polynôme déterminant 3 par 3]
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.
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@article{CRMATH_2016__354_9_931_0,
author = {H\"uttenhain, Jesko and Lairez, Pierre},
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},
url = {http://www.numdam.org/articles/10.1016/j.crma.2016.07.002/}
}
TY - JOUR AU - Hüttenhain, Jesko AU - Lairez, Pierre TI - The boundary of the orbit of the 3-by-3 determinant polynomial JO - Comptes Rendus. Mathématique PY - 2016 SP - 931 EP - 935 VL - 354 IS - 9 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2016.07.002/ DO - 10.1016/j.crma.2016.07.002 LA - en ID - CRMATH_2016__354_9_931_0 ER -
%0 Journal Article %A Hüttenhain, Jesko %A Lairez, Pierre %T The boundary of the orbit of the 3-by-3 determinant polynomial %J Comptes Rendus. Mathématique %D 2016 %P 931-935 %V 354 %N 9 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2016.07.002/ %R 10.1016/j.crma.2016.07.002 %G en %F CRMATH_2016__354_9_931_0
Hüttenhain, Jesko; Lairez, Pierre. The boundary of the orbit of the 3-by-3 determinant polynomial. Comptes Rendus. Mathématique, Tome 354 (2016) no. 9, pp. 931-935. doi : 10.1016/j.crma.2016.07.002. http://www.numdam.org/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.
