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arXiv · 1206.4039

The Lemma on b-functions in Positive Characteristic

Theodore J. Stadnik Jr
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Abstract

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

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Theodore J. Stadnik Jr. 2013-11-18. The Lemma on b-functions in Positive Characteristic. https://arxiv.org/abs/1206.4039

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