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Zbl 0919.32022
Maynadier, Hélène
Bernstein-Sato polynomials associated to a complete quasi-homogeneous intersection with isolated singularity. (Polynômes de Bernstein-Sato associés à une intersection complète quasi-homogène à singularité isolée.) (French)
[J] Bull. Soc. Math. Fr. 125, No.4, 547-571 (1997). ISSN 0037-9484

The notion of Bernstein-Sato polynomial has been generalised to complete intersection singularities by {\it C. Sabbah} [Compos. Math. 62, 283-328 (1987; Zbl 0622.32012), and ibid. 64, 213-241 (1987; Zbl 0632.32006)]. The author computes this Bernstein-Sato ideal explicitly for semi-quasihomogeneous complete intersections. She shows that it is principal for a fat point in ${\Bbb C}^2$ (this is no longer true in higher dimensions).
[J.Stevens (Göteborg)]

MSC 2000:: *32S40 Monodromy; relations with differential equations and D-modules
32C38 Sheaves of differential operators (analytic spaces)
32S05 Local singularities (analytic spaces)
14B05 Singularities (algebraic geometry)

Citations: Zbl 0622.32012; Zbl 0632.32006

Cited in: Zbl 1089.32004

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