Bik, Arthur; Danelon, Alessandro; Draisma, Jan; Eggermont, Rob H (2022). Universality of High-Strength Tensors. Vietnam journal of mathematics, 50(2), pp. 557-580. Springer 10.1007/s10013-021-00522-7
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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.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Draisma, Jan |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
2305-2228 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Pubmed Import |
Date Deposited: |
11 May 2022 11:56 |
Last Modified: |
05 Dec 2022 16:19 |
Publisher DOI: |
10.1007/s10013-021-00522-7 |
PubMed ID: |
35535306 |
Uncontrolled Keywords: |
GL-varieties Infinite tensors Polynomial functor Strength |
BORIS DOI: |
10.48350/169915 |
URI: |
https://boris.unibe.ch/id/eprint/169915 |
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