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arXiv · 2410.11675

Logarithmic Discriminants of Hyperplane Arrangements

Leonie Kayser·Andreas Kretschmer·Simon Telen
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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.

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Leonie Kayser, Andreas Kretschmer, Simon Telen. 2024-10-15. Logarithmic Discriminants of Hyperplane Arrangements. https://arxiv.org/abs/2410.11675

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