English

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

Algebraic Geometry 2026-02-02 v1

Abstract

Given a polynomial fC[x1,,xn]f\in\mathbb{C}[x_1,\ldots,x_n] and an integer Z\ell\in\mathbb{Z}, we study some properties of the b-function with respect to weights of the annihilating ideal Ann(f)(f^\ell). In some particular cases the expression of the b-function is given explicitly.

Keywords

Cite

@article{arxiv.2601.23125,
  title  = {On the b-function with respect to weights of annihilating ideals in the Weyl algebra},
  author = {Helena Cobo},
  journal= {arXiv preprint arXiv:2601.23125},
  year   = {2026}
}