Computing syzygies of homogeneous polynomials using linear algebra
| dc.contributor.author | Hodges, Tim, author | |
| dc.contributor.author | Bates, Dan, advisor | |
| dc.contributor.author | Peterson, Chris, committee member | |
| dc.contributor.author | Böhm, A. P. Willem, committee member | |
| dc.date.accessioned | 2007-01-03T06:40:52Z | |
| dc.date.available | 2007-01-03T06:40:52Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | Given a ideal generated by polynomials ƒ1,...,ƒn in polynomial ring of m variables a syzygy is an n-tuple α1,.., αn, & αi in our polynomial ring of m variables such that our n-tuple holds the orthogonal property on the generators above. Syzygies can be computed by Buchberger's algorithm for computing Gröbner Bases. However, Gröbner bases have been computationally impractical as the number of variables and number of polynomials increase. The aim of this thesis is to describe a way to compute syzygies without the need for Grobner bases but still retrieve some of the same information as Gröbner bases. The approach is to use the monomial structure of the polynomials in our generating set to build syzygies using Nullspace computations. | |
| dc.format.medium | born digital | |
| dc.format.medium | masters theses | |
| dc.identifier | Hodges_colostate_0053N_12246.pdf | |
| dc.identifier.uri | http://hdl.handle.net/10217/82554 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation.ispartof | 2000-2019 | |
| dc.rights | Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright. | |
| dc.subject | algebraic geometry | |
| dc.subject | syzygy | |
| dc.subject | linear algebra | |
| dc.subject | homogenous polynomials | |
| dc.title | Computing syzygies of homogeneous polynomials using linear algebra | |
| dc.type | Text | |
| dcterms.rights.dpla | This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Colorado State University | |
| thesis.degree.level | Masters | |
| thesis.degree.name | Master of Science (M.S.) |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- Hodges_colostate_0053N_12246.pdf
- Size:
- 184.9 KB
- Format:
- Adobe Portable Document Format
- Description: