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math.AG2024
Logarithmic Discriminants of Hyperplane Arrangements
Leonie Kayser, Andreas Kretschmer, Simon Telen
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 charac…
math.AG2024
Santaló Geometry of Convex Polytopes
Dmitrii Pavlov, Simon Telen
The Santaló point of a convex polytope is the interior point which leads to a polar dual of minimal volume. This minimization problem is relevant in interior point methods for conv…
math.AG2024
Chebyshev Varieties
Zaïneb Bel-Afia, Chiara Meroni, Simon Telen
Chebyshev varieties are algebraic varieties parametrized by Chebyshev polynomials or their multivariate generalizations. We determine the dimension, degree, singular locus and defi…