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arXiv · 2003.03842

Upper bounds for roots of B-functions, following Kashiwara and Lichtin

Bradley Dirks·Mircea Mustata
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Abstract

By building on a method introduced by Kashiwara and refined by Lichtin, we give upper bounds for the roots of certain b-functions associated to a regular function f in terms of a log resolution of singularities. As applications, we recover with more elementary methods a result of Budur and Saito describing the multiplier ideals of f in terms of the V-filtration of f and a result of the second named author with Popa giving a lower bound for the minimal exponent of f in terms of a log resolution.

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Bradley Dirks, Mircea Mustata. 2020-03-08. Upper bounds for roots of B-functions, following Kashiwara and Lichtin. https://arxiv.org/abs/2003.03842

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