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September 2018 Examples of finite free complexes of small rank and small homology
Srikanth B. Iyengar, Mark E. Walker
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Acta Math. 221(1): 143-158 (September 2018). DOI: 10.4310/ACTA.2018.v221.n1.a4


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.


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Srikanth B. Iyengar. Mark E. Walker. "Examples of finite free complexes of small rank and small homology." Acta Math. 221 (1) 143 - 158, September 2018.


Received: 7 June 2017; Revised: 17 February 2018; Published: September 2018
First available in Project Euclid: 19 June 2019

zbMATH: 1403.13026
MathSciNet: MR3877020
Digital Object Identifier: 10.4310/ACTA.2018.v221.n1.a4

Primary: 13D02
Secondary: 13D22 , 55M35 , 57S17

Keywords: complete intersection ring , finite free complex , toral rank conjecture , total Betti number

Rights: Copyright © 2018 Institut Mittag-Leffler


Vol.221 • No. 1 • September 2018
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