Grobner bases and extension of scalars
Abstract
This paper studies the behavior of Grobner bases with respect to extensions of scalars. We prove that an extension of scalars commutes with taking Grobner bases iff the extension is flat. We consider what information can be deduced about fibers of a family, from the Grobner basis of the defining ideal of the family itself. This information can be used to construct algorithms, such as to find locii over which a map is finite, or an isomorphism.
 Publication:

arXiv eprints
 Pub Date:
 February 1992
 arXiv:
 arXiv:alggeom/9202021
 Bibcode:
 1992alg.geom..2021B
 Keywords:

 Mathematics  Algebraic Geometry
 EPrint:
 18 pages, LaTeX