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Determinantal Hypersurface from a Geometric Perspective


Huang, Jingjing (2013) Determinantal Hypersurface from a Geometric Perspective. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/KMK9-6493.


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.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:determinantal, matrix,singular locus
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Mathematics
Minor Option:Electrical Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Rains, Eric M.
Thesis Committee:
  • Rains, Eric M. (chair)
  • Hassibi, Babak
  • Graber, Thomas B.
  • Wilson, Richard M.
Defense Date:30 April 2013
Record Number:CaltechTHESIS:05022013-153358975
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7656
Deposited By: Jingjing Huang
Deposited On:03 Jun 2013 20:59
Last Modified:04 Oct 2019 00:00

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