Algebraicity of the Brascamp-Lieb constants
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910047245697024 |
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| author | Chindris, Calin Derksen, Harm |
| author_facet | Chindris, Calin Derksen, Harm |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09057 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Algebraicity of the Brascamp-Lieb constants Chindris, Calin Derksen, Harm Representation Theory Classical Analysis and ODEs 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. |
| title | Algebraicity of the Brascamp-Lieb constants |
| topic | Representation Theory Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2603.09057 |