Geodesic
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)]
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Sawada, Sumire 1   ; Settepanella, Simona 1   ; Yamagata, So 1
1 Department of Mathematics, Hokkaido University, Japan
Comptes Rendus. Mathématique, Tome 355 (2017) no. 11, pp. 1111-1120 Cet article a éte moissonné depuis la source Numdam

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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.

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.

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DOI : 10.1016/j.crma.2017.10.011

Sawada, Sumire  1   ; Settepanella, Simona  1   ; Yamagata, So  1

1 Department of Mathematics, Hokkaido University, Japan 
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     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},
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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

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