3 papers
math.AG2026
Degenerations of multisingularities and Artin algebras
Jakub Koncki, Richárd Rimányi
We study the degeneration hierarchy of commutative, associative, finite-dimensional complex Artin algebras. Instead of studying degenerations in the Hilbert scheme, we introduce a…
math.AG2025
Higher characteristic classes of multisingularity loci
Jakub Koncki, Richárd Rimányi
A map between manifolds induces stratifications of both the source and the target according to the occurring multisingularities. In this paper, we study universal expressions-calle…
math.AG2025
The main reasons for matrices multiplying to zero
Jakub Koncki, Richard Rimanyi
We provide an explicit description of the maximal-dimensional components of the variety parametrizing sequences of matrices of prescribed sizes whose product is zero.