English

The Lemma on b-functions in Positive Characteristic

Algebraic Geometry 2013-11-19 v3 Commutative Algebra

Abstract

Let XX be an FF-finite smooth scheme of essentially finite type over a perfect field. This article proves the existence of bb-functions for locally finitely generated unit FF-modules when equipped with their induced DX\mathbb{D}_X-module structure. It is shown that the bb-function has rational roots and is determined locally in the \'etale topology.

Keywords

Cite

@article{arxiv.1206.4039,
  title  = {The Lemma on b-functions in Positive Characteristic},
  author = {Theodore J. Stadnik},
  journal= {arXiv preprint arXiv:1206.4039},
  year   = {2013}
}
R2 v1 2026-06-21T21:21:31.519Z