Determinantal Hypersurface from a Geometric Perspective

Author: Huang, Jingjing

Year: 2013

Degree: Dissertation (Ph.D.)

Advisor: Rains, Eric M.

Committee Members: Rains, Eric M.; Hassibi, Babak; Graber, Thomas B.; Wilson, Richard M.

Option: Mathematics; Electrical Engineering

DOI: 10.7907/KMK9-6493

Abstract

In this paper, we give a geometric interpretation of determinantal forms, both in the case of general matrices and symmetric matrices. We will prove irreducibility of the determinantal singular loci and state its dimension. We also provide detailed description of the singular locus for small dimensions.

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