Discriminantal Arrangement, $3\times 3$ Minors of Plücker 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 ${\mathbb{C}}^3$ with associated discriminantal arrangement having intersections of multiplicity three in codimension two.

12 pages, 1 figure

References in corpus (1)

• Strata of discriminantal arrangements

Cited by in corpus (5)

• A classification of combinatorial types of discriminantal arrangements
• Non-very generic arrangements in low dimension
• The Generalized Sylvester's And Orchard Problems Via Discriminantal arrangement
• Degeneration in discriminantal arrangements
• Arithmetic non-very generic arrangements