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arxiv: 1705.06239 · v2 · pith:RDGHPWI7new · submitted 2017-05-12 · 🧮 math.AG · math.CO

Discriminantal Arrangement, 3times3 Minors of Pl\"ucker Matrix and hypersurfaces in Grassmannian Gr(3,n)

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keywords arrangementdiscriminantalgrassmannianhypersurfacesarrangementsassociatedcodimensioncorrespond
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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 $\mathbb{C}^3$ with associated discriminantal arrangement having intersections of multiplicity three in codimension two.

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