3 papers
math.AG2026
Inverse Eigenvalue Problems, Floquet Isospectrality and the Hilbert--Chow Morphism
John Cobb, Matthew Faust, Andreas Kretschmer
When can one change the diagonal of a matrix without changing its spectrum? We completely answer this question over an algebraically closed field of characteristic zero or larger t…
math.AG2025
Symmetric Ideals and Invariant Hilbert Schemes
Sebastian Debus, Andreas Kretschmer
A symmetric ideal is an ideal in a polynomial ring which is stable under all permutations of the variables. In this paper we initiate a global study of zero-dimensional symmetric i…
math.AG2025
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…