Stability of the Levi-Civita tensors and an Alon–Tarsi type theorem

Autor: Yeliussizov, Damir
Jazyk: English<br />French
Rok vydání: 2023
Předmět:
Zdroj: Comptes Rendus. Mathématique, Vol 361, Iss G8, Pp 1367-1373 (2023)
Druh dokumentu: article
ISSN: 1778-3569
DOI: 10.5802/crmath.505
Popis: We show that the Levi-Civita tensors are semistable in the sense of Geometric Invariant Theory, which is equivalent to an analogue of the Alon–Tarsi conjecture on Latin squares. The proof uses the connection of Tao’s slice rank with semistable tensors. We also show an application to an asymptotic saturation-type version of Rota’s basis conjecture.
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