Universality of high-strength tensors
| Autor: | Bik, Arthur, Danelon, Alessandro, Draisma, Jan, Eggermont, Rob H. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Vietnam J. Math. 50 (2022), pp. 557-580 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10013-021-00522-7 |
| Popis: | A theorem due to Kazhdan and Ziegler implies that, by substituting linear forms for its variables, a homogeneous polynomial of sufficiently high strength specialises to any given polynomial of the same degree in a bounded number of variables. Using entirely different techniques, we extend this theorem to arbitrary polynomial functors. As a corollary of our work, we show that specialisation induces a quasi-order on elements in polynomial functors, and that among the elements with a dense orbit there are unique smallest and largest equivalence classes in this quasi-order. Comment: 19 pages |
| Databáze: | arXiv |
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