Algebraicity of the Brascamp-Lieb constants
Representation Theory
2026-03-11 v1 Classical Analysis and ODEs
Abstract
We show that the Brascamp-Lieb (BL) constant BL(-,p) is a semi-algebraic function on the set of feasible data. Consequently, it is algebraic in the sense that it satisfies a polynomial relation of the form P(V, BL(V,p))=0 for a non-zero polynomial P. In fact, we establish an analogous statement in the more general setting of quiver BL constants associated to representations of bipartite quivers.
Keywords
Cite
@article{arxiv.2603.09057,
title = {Algebraicity of the Brascamp-Lieb constants},
author = {Calin Chindris and Harm Derksen},
journal= {arXiv preprint arXiv:2603.09057},
year = {2026}
}