Universality of High-Strength Tensors.

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)

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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