Stability of the Levi-Civita tensors and an Alon–Tarsi type theorem
Yeliussizov D.
2023Academie des sciences
Comptes Rendus Mathematique
2023#3611367 - 1373 pp.
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.
Text of the article Перейти на текст статьи
Kazakh-British Technical University, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Kazakh-British Technical University
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026