Asymptotic Behavior of Symmetric Ideals: A Brief Survey
| Autor(en): | Juhnke-Kubitzke, M. Le, D.V. Römer, T. |
Herausgeber: | Stamate, D.I. Szemberg, T. |
Stichwörter: | Algebra; Asymptotic analysis, Asymptotic behaviors; Codimension, Geometry; Invariant ideal; Monoid; Polynomial ring; Symmetric group | Erscheinungsdatum: | 2020 | Herausgeber: | Springer | Journal: | Springer Proceedings in Mathematics and Statistics | Volumen: | 331 | Startseite: | 73 | Seitenende: | 94 | Zusammenfassung: | Recently, chains of increasing symmetric ideals have attracted considerable attention. In this note, we summarize some results and open problems concerning the asymptotic behavior of several algebraic and homological invariants along such chains, including codimension, projective dimension, Castelnuovo-Mumford regularity, and Betti tables. © 2020, Springer Nature Switzerland AG. |
Beschreibung: | Conference of 26th National School on Algebra, NSA 2018 ; Conference Date: 26 August 2018 Through 1 September 2018; Conference Code:244759 |
ISBN: | 9783030521103 | ISSN: | 21941009 | DOI: | 10.1007/978-3-030-52111-0_7 | Externe URL: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85091328099&doi=10.1007%2f978-3-030-52111-0_7&partnerID=40&md5=168d590246d87cc764f3cbb0f981b0fb |
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