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March 2006 Gröbner fan for analytic $D$-modules with parameters
Rouchdi Bahloul
Proc. Japan Acad. Ser. A Math. Sci. 82(3): 34-39 (March 2006). DOI: 10.3792/pjaa.82.34


This is the first part of a work dedicated to the study of Bernstein-Sato polynomials for several analytic functions depending on parameters. The main result of this part is a constructibility result for the analytic Gröbner fan of a parametric ideal in the ring of analytic differential operators. In this part, the main tool is the notion of reduced generic standard basis.


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Rouchdi Bahloul. "Gröbner fan for analytic $D$-modules with parameters." Proc. Japan Acad. Ser. A Math. Sci. 82 (3) 34 - 39, March 2006.


Published: March 2006
First available in Project Euclid: 4 April 2006

zbMATH: 0895.16020
MathSciNet: MR2214771
Digital Object Identifier: 10.3792/pjaa.82.34

Primary: 13P99 , 16S32
Secondary: 32G99

Keywords: differential operators , Gröbner fan , standard bases

Rights: Copyright © 2006 The Japan Academy

Vol.82 • No. 3 • March 2006
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