Details:
Title  Gröbner Bases and Algebraic Geometry  Author(s)  GertMartin Greuel, Gerhard Pfister  Type  Technical Report, Misc  Abstract  This 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.  Length  35 
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 Language  English  Year  2005  Edition  0  Translation 
No  Refereed 
No 
