Logarithmic Discriminants of Hyperplane Arrangements
Algebraic Geometry
2025-06-09 v2 High Energy Physics - Theory
Combinatorics
Abstract
A recurring task in particle physics and statistics is to compute the complex critical points of a product of powers of affine-linear functions. The logarithmic discriminant characterizes exponents for which such a function has a degenerate critical point in the corresponding hyperplane arrangement complement. We study properties of this discriminant, exploiting its connection with the Hurwitz form of a reciprocal linear space.
Keywords
Cite
@article{arxiv.2410.11675,
title = {Logarithmic Discriminants of Hyperplane Arrangements},
author = {Leonie Kayser and Andreas Kretschmer and Simon Telen},
journal= {arXiv preprint arXiv:2410.11675},
year = {2025}
}
Comments
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