Citation
Huang, Jingjing (2013) Determinantal Hypersurface from a Geometric Perspective. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/KMK9-6493. https://resolver.caltech.edu/CaltechTHESIS:05022013-153358975
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.
| Item Type: | Thesis (Dissertation (Ph.D.)) |
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| 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) |
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| Thesis Committee: |
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| Defense Date: | 30 April 2013 |
| Record Number: | CaltechTHESIS:05022013-153358975 |
| Persistent URL: | https://resolver.caltech.edu/CaltechTHESIS:05022013-153358975 |
| DOI: | 10.7907/KMK9-6493 |
| Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 7656 |
| Collection: | CaltechTHESIS |
| Deposited By: | Jingjing Huang |
| Deposited On: | 03 Jun 2013 20:59 |
| Last Modified: | 04 Oct 2019 00:00 |
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