Comptes Rendus
Combinatorics
Discriminantal arrangement, 3 × 3 minors of Plücker matrix and hypersurfaces in Grassmannian Gr(3,n)
[Arrangement discriminant, mineurs 3 × 3 de la matrice de Plücker et hypersurfaces de la grassmannienne Gr(3,n)]
Comptes Rendus. Mathématique, Volume 355 (2017) no. 11, pp. 1111-1120.

Nous montrons que les points d'hypersurfaces spécifiques de degré 2 de la grasmannienne Gr(3,n) correspondent aux arrrangements génériques de n hyperplans dans C3, 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 Gr(3,n) correspond to generic arrangements of n hyperplanes in C3 with associated discriminantal arrangement having intersections of multiplicity three in codimension two.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.10.011

Sumire Sawada 1 ; Simona Settepanella 1 ; So Yamagata 1

1 Department of Mathematics, Hokkaido University, Japan
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     title = {Discriminantal arrangement, 3\,{\texttimes}\,3 minors of {Pl\"ucker} matrix and hypersurfaces in {Grassmannian} {\protect\emph{Gr}(3,\protect\emph{n})}},
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Sumire Sawada; Simona Settepanella; So Yamagata. Discriminantal arrangement, 3 × 3 minors of Plücker matrix and hypersurfaces in Grassmannian Gr(3,n). Comptes Rendus. Mathématique, Volume 355 (2017) no. 11, pp. 1111-1120. doi : 10.1016/j.crma.2017.10.011. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.10.011/

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