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Examples of finite free complexes of small rank and small homology

Srikanth B. Iyengar University of Utah Mark E. Walker University of Nebraska

Arithmetic Geometry and Commutative Algebra mathscidoc:1911.43027

Acta Mathematica, 221, (1), 143 – 158, 2017
This work concerns finite free complexes over commutative noetherian rings, in particular over group algebras of elementary abelian groups. The main contribution is the construction of complexes such that the total rank of their underlying free modules, or the total length of their homology, is less than predicted by various conjectures in the theory of transformation groups and in local algebra.
complete intersection ring, finite free complex, total Betti number, toral rank conjecture
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@inproceedings{srikanth2017examples,
  title={Examples of finite free complexes of small rank and small homology},
  author={Srikanth B. Iyengar, and Mark E. Walker},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191128113703877842538},
  booktitle={Acta Mathematica},
  volume={221},
  number={1},
  pages={143 – 158},
  year={2017},
}
Srikanth B. Iyengar, and Mark E. Walker. Examples of finite free complexes of small rank and small homology. 2017. Vol. 221. In Acta Mathematica. pp.143 – 158. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191128113703877842538.
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