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TitleGröbner bases and extension of scalars
Author(s) David Bayer, Andre Galligo, Michael Stillman
TypeArticle in Journal
AbstractThis 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.
KeywordsAlgebraic Geometry
Length18
File
LanguageEnglish
Journaleprint arXiv:alg-geom/9202021
Year1992
MonthFebruary
Translation No
Refereed No
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