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TitleGröbner Bases and Algebraic Geometry
Author(s) Gert-Martin Greuel, Gerhard Pfister
TypeTechnical Report, Misc
AbstractThis paper that he proved the "division theorem by an ideal". In our language, he introduced the notion of standard bases and proved the existence of normal forms for complex analytic convergent power series. An equivalent theorem had already been proved before in 1964 by Hironaka in his famous resolution paper ([Hi]). It is interesting to notice that
the analog of Groebner bases in power series rings was invented for proving deep theoretical results. The proofs were, however, not constructive and did not contain Buchberger's criterion.
Length35
File
LanguageEnglish
Year2005
Edition0
Translation No
Refereed No
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