[Arrangement discriminant, mineurs 3 × 3 de la matrice de Plücker et hypersurfaces de la grassmannienne Gr(3,n)]
Nous montrons que les points d'hypersurfaces spécifiques de degré 2 de la grasmannienne correspondent aux arrrangements génériques de n hyperplans dans , dont l'arrangement discriminant possède des intersections de triplets d'hyperplans de codimension deux.
We show that points in specific degree-2 hypersurfaces in the Grassmannian correspond to generic arrangements of n hyperplanes in with associated discriminantal arrangement having intersections of multiplicity three in codimension two.
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@article{CRMATH_2017__355_11_1111_0,
author = {Sawada, Sumire and Settepanella, Simona and Yamagata, So},
title = {Discriminantal arrangement, 3\,{\texttimes}\,3 minors of {Pl\"ucker} matrix and hypersurfaces in {Grassmannian} {\protect\emph{Gr}(3,\protect\emph{n})}},
journal = {Comptes Rendus. Math\'ematique},
pages = {1111--1120},
publisher = {Elsevier},
volume = {355},
number = {11},
year = {2017},
doi = {10.1016/j.crma.2017.10.011},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2017.10.011/}
}
TY - JOUR AU - Sawada, Sumire AU - Settepanella, Simona AU - Yamagata, So TI - Discriminantal arrangement, 3 × 3 minors of Plücker matrix and hypersurfaces in Grassmannian Gr(3,n) JO - Comptes Rendus. Mathématique PY - 2017 SP - 1111 EP - 1120 VL - 355 IS - 11 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2017.10.011/ DO - 10.1016/j.crma.2017.10.011 LA - en ID - CRMATH_2017__355_11_1111_0 ER -
%0 Journal Article %A Sawada, Sumire %A Settepanella, Simona %A Yamagata, So %T Discriminantal arrangement, 3 × 3 minors of Plücker matrix and hypersurfaces in Grassmannian Gr(3,n) %J Comptes Rendus. Mathématique %D 2017 %P 1111-1120 %V 355 %N 11 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2017.10.011/ %R 10.1016/j.crma.2017.10.011 %G en %F CRMATH_2017__355_11_1111_0
Sawada, Sumire; Settepanella, Simona; Yamagata, So. Discriminantal arrangement, 3 × 3 minors of Plücker matrix and hypersurfaces in Grassmannian Gr(3,n). Comptes Rendus. Mathématique, Tome 355 (2017) no. 11, pp. 1111-1120. doi : 10.1016/j.crma.2017.10.011. http://www.numdam.org/articles/10.1016/j.crma.2017.10.011/
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