Discriminantal Arrangement, 3×3 Minors of Pl\"ucker Matrix and hypersurfaces in Grassmannian Gr(3,n)
Abstract
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.
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