Plücker矩阵的判别排列、$3\times3$子式与格拉斯曼$Gr(3,n)$超曲面
Discriminantal Arrangement, $3\times3$ Minors of Plücker Matrix and hypersurfaces in Grassmannian $Gr(3,n)$
摘要:
我们表明,在特定的度2超曲面的格拉斯曼$Gr(3, n)$对应于一般的安排$n$超平面在$\mathbb{C}^3$与相关的判别安排有交集的多重性3余维2。
英文摘要:
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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