Singularities of hyperdeterminants

被引:28
作者
Weyman, J
Zelevinsky, A
机构
[1] Department of Mathematics, Northeastern University, Boston
关键词
hyperdeterminant; singular locus; cusp type singularities; node type singularities; projectively dual variety; Segre embedding;
D O I
10.5802/aif.1526
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the singular locus of the variety of degenerate hypermatrices of an arbitrary format. Our main result is a classification of irreducible components of the singular locus. Equivalently, we classify irreducible components of the singular locus for the projectively dual variety of a product of several projective spaces taken in the Segre embedding.
引用
收藏
页码:591 / &
页数:55
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