66 citations · 72 across the 6 of their papers we have counts for
6 papers
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 conjectured by Blum-…
Estimating the Euclidean distortion of an orbit space
Ben Blum-Smith, Harm Derksen, Dustin G. Mixon +2
Given a finite-dimensional inner product space and a group of isometries, we consider the problem of embedding the orbit space into a Hilbert space in a way that pres…
Generic orbits, normal bases, and generation degree for fields of rational invariants
Ben Blum-Smith, Harm Derksen
For a faithful linear representation of a finite group in coprime characteristic, we show that if the field Noether number is the minimum such that…
Degree bounds for rational generators of invariant fields of finite abelian groups
Ben Blum-Smith
We study degree bounds on rational but not necessarily polynomial generators for the field of rational invariants of a linear action of a finite abelian group. We…
Degree bounds for fields of rational invariants of and other finite groups
Ben Blum-Smith, Thays Garcia, Rawin Hidalgo +1
Degree bounds for algebra generators of invariant rings are a topic of longstanding interest in invariant theory. We study the analogous question for field generators for the field…
Estimation under group actions: recovering orbits from invariants
Afonso S. Bandeira, Ben Blum-Smith, Joe Kileel +3
We study a class of orbit recovery problems in which we observe independent copies of an unknown element of , each linearly acted upon by a random element of some gro…