We show that points in specific degree-2 hypersurfaces in the Grassmannian Gr( 3, n) correspond to generic arrangements of n hyperplanes in C-3 with associated discriminantal arrangement having intersections of multiplicity three in codimension two. (C) 2017 Acadmie des sciences. Published by Elsevier Masson SAS. All rights reserved.
Discriminantal Arrangement, 3 × 3 Minors of Plu ̈cker Matrix and hypersurfaces in Grass- mannian Gr(3,n)
Settepanella S;
2017-01-01
Abstract
We show that points in specific degree-2 hypersurfaces in the Grassmannian Gr( 3, n) correspond to generic arrangements of n hyperplanes in C-3 with associated discriminantal arrangement having intersections of multiplicity three in codimension two. (C) 2017 Acadmie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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