Grobner fan for analytic D-modules with parameters
classification
🧮 math.RA
math.AC
keywords
analyticpartmainparametersresultbasisbernstein-satoconstructibility
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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 Gr\"obner fan of a parametric ideal in the ring of analytic differential operators. In this part, the main tool is the notion of generic reduced standard basis.
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