Generic Bernstein-Sato polynomial on an irreducible affine scheme

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dc.creatorBahloul, Rouchdi
dc.date2003-07-11
dc.date.accessioned2026-07-07T04:59:37Z
dc.date.available2026-07-07T04:59:37Z
dc.descriptionGiven $p$ polynomials with coefficients in a commutative unitary integral ring $\mathcal{C}$ containing $\mathbb{Q}$, we define the notion of a generic Bernstein-Sato polynomial on an irreducible affine scheme $V \subset \text{Spec}(\mathcal{C})$. We prove the existence of such a non zero rational polynomial which covers and generalizes previous existing results by H. Biosca. When $\mathcal{C}$ is the ring of an algebraic or analytic space, we deduce a stratification of the space of the parameters such that on each stratum, there is a non zero rational polynomial which is a Bernstein-Sato polynomial for any point of the stratum. This generalizes a result of A. Leykin obtained in the case $p=1$.
dc.description6 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0307168
dc.identifierhttp://arxiv.org/abs/math/0307168
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68058
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject16S32; 13N10; 14R99
dc.titleGeneric Bernstein-Sato polynomial on an irreducible affine scheme
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