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Asymptotic behavior of symmetric ideals: A brief survey
Martina Juhnke-Kubitzke, Dinh Van Le, Tim Römer
Recently, chains of increasing symmetric ideals have attracted considerable attention. In this note, we summarize some results and open problems concerning the asymptotic behavior…
Codimension and Projective Dimension up to Symmetry
Dinh Van Le, Uwe Nagel, Hop D. Nguyen +1
Symmetric ideals in increasingly larger polynomial rings that form an ascending chain are investigated. We focus on the asymptotic behavior of codimensions and projective dimension…
Castelnuovo-Mumford regularity up to symmetry
Dinh Van Le, Uwe Nagel, Hop D. Nguyen +1
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…