Degenerations of toric ideals and toric varieties
β Scribed by Chun-Gang Zhu
- Book ID
- 113721503
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 290 KB
- Volume
- 386
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
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
Let D be an integer matrix. A toric set, namely the points in K n parametrized by the columns of D, and a toric variety are associated to D. The toric set is a subset of the toric variety. We describe the relation between the toric set and the toric variety, in terms of the orbits of the torus actio