Asymptotic behavior of symmetric ideals: A brief survey

Martina Juhnke-Kubitzke; Dinh Van Le; Tim Römer

doi:10.1007/978-3-030-52111-0_7

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arXiv · 2009.03617

Asymptotic behavior of symmetric ideals: A brief survey

Martina Juhnke-Kubitzke·Dinh Van Le·Tim Römer

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Abstract

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.

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Martina Juhnke-Kubitzke, Dinh Van Le, Tim Römer. 2020-09-08. Asymptotic behavior of symmetric ideals: A brief survey. https://doi.org/10.1007/978-3-030-52111-0_7

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