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arXiv · 1705.06239

Discriminantal Arrangement, $3\times3$ Minors of Plücker Matrix and hypersurfaces in Grassmannian $Gr(3,n)$

S. Sawada·S. Settepanella·S. Yamagata
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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.

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S. Sawada, S. Settepanella, S. Yamagata. 2017-10-16. Discriminantal Arrangement, $3\times3$ Minors of Plücker Matrix and hypersurfaces in Grassmannian $Gr(3,n)$. https://doi.org/10.1016/j.crma.2017.10.011

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