Draisma, Jan (2019). Topological Noetherianity of polynomial functors. Journal of the American Mathematical Society, 32(3), pp. 691-707. American Mathematical Society 10.1090/jams/923
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We prove that any finite-degree polynomial functor is topologically Noetherian. This theorem is motivated by the recent resolution of Stillman's conjecture and a recent Noetherianity proof for the space of cubics. Via work by Erman-Sam-Snowden, our theorem implies Stillman's conjecture and indeed boundedness of a wider class of invariants of ideals in polynomial rings with a fixed number of generators of prescribed degrees.
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: |
1088-6834 |
Publisher: |
American Mathematical Society |
Language: |
English |
Submitter: |
Michel Arthur Bik |
Date Deposited: |
06 Aug 2019 13:31 |
Last Modified: |
05 Dec 2022 15:30 |
Publisher DOI: |
10.1090/jams/923 |
ArXiv ID: |
1705.01419v4 |
BORIS DOI: |
10.7892/boris.132249 |
URI: |
https://boris.unibe.ch/id/eprint/132249 |
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