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Zbl 1015.32009
Torrelli, Tristan
Polynômes de Bernstein associés à une fonction sur une intersection complète à singularité isolée. (Bernstein polynomials associated with a function on an isolated complete intersection singularity). (French)
[J] Ann. Inst. Fourier 52, No.1, 221-244 (2002). ISSN 0373-0956; ISSN 1777-5310/e

The article deals with the effective computation of the Bernstein polynomial of a function $f$ on an ICIS defined by $g=(g_1,\ldots,g_p)$ such that the quasi-homogeneous mapping $(in(f),g)$ defines an isolated complete intersection singularity (ICIS). This algorithm extends one by Briançon-Granger-Maisonobe-Miniconi for the semi-quasi-homogeneous hypersurface case.
[Francisco Castro-Jiménez (Sevilla)]

MSC 2000:: *32C38 Sheaves of differential operators (analytic spaces)
14B05 Singularities (algebraic geometry)
32S40 Monodromy; relations with differential equations and D-modules

Keywords: Bernstein polynomial; $D$-modules; isolated complete intersection singularity

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