On the b-function with respect to weights of annihilating ideals in the Weyl algebra

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Helena Cobo
Cited by: 0

Abstract

Given a polynomial $f\in\mathbb{C}[x_1,\ldots,x_n]$ and an integer $\ell\in\mathbb{Z}$, we study some properties of the b-function with respect to weights of the annihilating ideal Ann$(f^\ell)$. In some particular cases the expression of the b-function is given explicitly.

Fields of Study & Subjects

Commutative Algebra and Its Applications Algebraic Geometry and Number Theory Polynomial and algebraic computation

Publication details

Journal / source
arXiv (Cornell University)
Publication date
30 January 2026
Document type
Preprint