Departmental Bulletin Paper Buchberger stratification on the space of polynomials

Kato, Fumiharu  ,  Ohnoshi, Kei  ,  カトウ, フミハル  ,  オオノシ, ケイ  ,  加藤, 文元  ,  大熨, 景

28pp.1 - 10 , 2015-04 , 熊本大学
In this paper, we consider the stratification on the space of polynomials, with a fixed set of monomials, induced from the notion of G-types, which encodes the process of Buchberger algorithm for obtaining Gröbner bases. We show that this indeed gives a finite stratification by locally closed subspaces, from which we deduce several finiteness results on Gröbner bases.

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