Asymptotic Behavior of Symmetric Ideals: A Brief Survey

@article{JuhnkeKubitzke2020AsymptoticBO,
  title={Asymptotic Behavior of Symmetric Ideals: A Brief Survey},
  author={Martina Juhnke-Kubitzke and Dinh Van Le and Tim Romer},
  journal={arXiv: Commutative Algebra},
  year={2020}
}
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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