Toric degenerations of polynomial ideals occur if one allows certain partial term orders in the theory of GrΓΆbner bases. We prove that the collection of toric degenerations of an ideal can be monotonically embedded into the complex closure of the GrΓΆbner fan. A process of geometric localization on t
Covers and fans of polynomial ideals
β Scribed by Daniel Mall
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 776 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0304-3975
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β¦ Synopsis
The purpose of this paper is to generalise the theory of Griibner fans. We introduce fans and covers defined by subsets of the reduced Griibner bases. Of particular interest is the case of minimal fans and covers, i.e., fans which are defined in terms of minimal generating sets contained in a reduced Griibner basis.
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