# Bernstein-Sato ideals and hyperplane arrangements

```@article{Wu2021BernsteinSatoIA,
title={Bernstein-Sato ideals and hyperplane arrangements},
author={Lei Wu},
journal={Journal of Pure and Applied Algebra},
year={2021}
}```
• Lei Wu
• Published 27 May 2020
• Mathematics
• Journal of Pure and Applied Algebra
4 Citations
A Note on Bernstein-Sato Varieties for Tame Divisors and Arrangements
For strongly Euler-homogeneous, Saito-holonomic, and tame analytic germs we consider general types of multivariate Bernstein-Sato ideals associated to arbitrary factorizations of our germ. We show
Estimates for zero loci of Bernstein-Sato ideals
• Mathematics
• 2021
We give estimates for the zero loci of Bernstein-Sato ideals. An upper bound is proved as a multivariate generalisation of the upper bound by Lichtin for the roots of Bernstein-Sato polynomials. The
Monodromy conjecture for log generic polynomials
• Mathematics
Mathematische Zeitschrift
• 2022
A log generic hypersurface in \$\mathbb{P}^n\$ with respect to a birational modification of \$\mathbb{P}^n\$ is by definition the image of a generic element of a high power of an ample linear series on
Maximum Likelihood Estimation from a Tropical and a Bernstein--Sato Perspective
• Mathematics
• 2021
In this article, we investigate Maximum Likelihood Estimation with tools from Tropical Geometry and Bernstein--Sato theory. We investigate the critical points of very affine varieties and study their

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• 2021
We have recently proved a precise relation between Bernstein-Sato ideals of collections of polynomials and monodromy of generalized nearby cycles. In this article we extend this result to other
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