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- Title
Castelnuovo–Mumford Regularity up to Symmetry.
- Authors
Le, Dinh Van; Nagel, Uwe; Nguyen, Hop D; Römer, Tim
- Abstract
We study the asymptotic behavior of the Castelnuovo–Mumford regularity along chains of graded ideals in increasingly larger polynomial rings that are invariant under the action of symmetric groups. A linear upper bound for the regularity of such ideals is established. We conjecture that their regularity grows eventually precisely linearly. We establish this conjecture in several cases, most notably when the ideals are Artinian or squarefree monomial.
- Subjects
SYMMETRY; POLYNOMIAL rings; LOGICAL prediction
- Publication
IMRN: International Mathematics Research Notices, 2021, Vol 2021, Issue 14, p11010
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnz382