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
|
Text
1705.01419.pdf - Accepted Version Available under License Publisher holds Copyright. Download (274kB) | Preview |
|
![[img]](https://boris.unibe.ch/style/images/fileicons/text.png) |
Text
S0894-0347-2019-00923-9.pdf - Published Version Restricted to registered users only Available under License Publisher holds Copyright. Download (291kB) |
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) |
|---|---|
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 |
Actions (login required)
 |
Edit item |