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arXiv · 2603.09057

Algebraicity of the Brascamp-Lieb constants

Calin Chindris·Harm Derksen
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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.

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Calin Chindris, Harm Derksen. 2026-03-10. Algebraicity of the Brascamp-Lieb constants. https://arxiv.org/abs/2603.09057

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