Formal local homology
Volume 163 / 2021
Colloquium Mathematicum 163 (2021), 267-284
MSC: 13D45, 13J99.
DOI: 10.4064/cm7863-11-2019
Published online: 23 July 2020
Abstract
We introduce a concept of formal local homology modules which is in some sense dual to P. Schenzel’s concept of formal local cohomology modules. The duality theorem and the non-vanishing theorem for formal local homology modules are shown. We also give some conditions for formal local homology modules to be finitely generated or artinian.
