Ben Blum-Smith

collaborators

3 papers

math.AC2026

Generic orbits, normal bases, and generation degree for fields of rational invariants

Ben Blum-Smith, Harm Derksen

For a faithful linear representation $V$ of a finite group $G$ in coprime characteristic, we show that if the field Noether number $I^_{field}^{2}$ is the minimum $d$ such tha…

math.AC2026

Geometry of numbers and degree bounds for rational invariants

Ben Blum-Smith, Sylvan Crane, Karla Guzman +2

We investigate degree bounds for fields of rational invariants of representations of finite groups. We prove many cases of a bound for $Z / p Z$ conjectured by Blum-…

math.MG2025

Estimating the Euclidean distortion of an orbit space

Ben Blum-Smith, Harm Derksen, Dustin G. Mixon +2

Given a finite-dimensional inner product space $V$ and a group $G$ of isometries, we consider the problem of embedding the orbit space $V / G$ into a Hilbert space in a way that pres…