Properties of Gröbner bases under specializations

@inproceedings{Gianni1987PropertiesOG,
  title={Properties of Gr{\"o}bner bases under specializations},
  author={P. Gianni},
  booktitle={EUROCAL},
  year={1987}
}
  • P. Gianni
  • Published in EUROCAL 1987
  • Mathematics, Computer Science
  • In this paper we prove some properties of Grobner bases under specialization maps. In particular we state sufficient conditions for the image of a Grobner basis to be a Grobner basis. We apply these results to the resolution of systems of polynomial equations. In particular we show that, if the system has a finite number of solutions, (in an algebraic closure of the base field K), the problem is totally reduced to a single Grobner basis computation (w.r.t. purely lexicographical ordering… CONTINUE READING
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