@article{oai:kumadai.repo.nii.ac.jp:00029216, author = {加藤, 文元 and 大熨, 景 and Kato, Fumiharu and Ohnoshi, Kei}, journal = {KUMAMOTO JOURNAL OF MATHEMATICS}, month = {Apr}, note = {application/pdf, 論文(Article), 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.}, pages = {1--10}, title = {Buchberger stratification on the space of polynomials}, volume = {28}, year = {2015} }