Grobner bases and extension of scalars

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dc.creatorBayer, Dave
dc.creatorGalligo, Andre
dc.creatorStillman, Mike
dc.date1992-02-20
dc.date.accessioned2026-07-07T09:05:42Z
dc.date.available2026-07-07T09:05:42Z
dc.descriptionThis 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.
dc.description18 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/alg-geom/9202021
dc.identifierhttp://arxiv.org/abs/alg-geom/9202021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149764
dc.subjectAlgebraic Geometry
dc.titleGrobner bases and extension of scalars
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