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A remark on FI-module homology

Wee Liang Gan Liping Li

K-Theory and Homology Representation Theory Rings and Algebras mathscidoc:1702.02009

Mich. Math. J., (65), 855-861, 2016
We show that the FI-homology of an FI-module can be computed via a Koszul complex. As an application, we prove that the Castelnuovo-Mumford regularity of a finitely generated torsion FI-module is equal to its degree.
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@inproceedings{wee2016a,
  title={A remark on FI-module homology},
  author={Wee Liang Gan, and Liping Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170222105042083047498},
  booktitle={Mich. Math. J.},
  number={65},
  pages={855-861},
  year={2016},
}
Wee Liang Gan, and Liping Li. A remark on FI-module homology. 2016. In Mich. Math. J.. pp.855-861. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170222105042083047498.
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