5 papers
Mukai lifting of self-dual points in
Barbara Betti, Leonie Kayser
A set of points in is self-dual if it is invariant under the Gale transform. Motivated by Mukai's work on canonical curves, Petrakiev showed that a general…
Polar Degrees of Matroids
Clara Briand, Leonie Kayser, Julian Weigert
We show that the polar degrees of the coordinate-wise inverse of a linear subspace are given by the coefficients of a substitution of the reduced charact…
Benchmarks in Leipzig
Andrei Balakin, Miklós Bóna, Marie-Charlotte Brandenburg +45
Between April 1 and May 15, 2026, a group of 49 mathematicians compiled a dataset of research-level mathematics questions with known answers. Most of the work was done during the 3…
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…
Hilbert Functions of Chopped Ideals
Fulvio Gesmundo, Leonie Kayser, Simon Telen
A chopped ideal is obtained from a homogeneous ideal by considering only the generators of a fixed degree. We investigate cases in which the chopped ideal defines the same finite s…