Abstract
Differential modules are natural generalizations of complexes. In this paper, we study differential modules with complete intersection homology, comparing and contrasting the theory of these differential modules with that of the Koszul complex. We construct a Koszul differential module that directly generalizes the classical Koszul complex and investigate which properties of the Koszul complex can be generalized to this setting.
Citation
Maya Banks. Keller VandeBogert. "DIFFERENTIAL MODULES WITH COMPLETE INTERSECTION HOMOLOGY." J. Commut. Algebra 16 (2) 151 - 172, Summer 2024. https://doi.org/10.1216/jca.2024.16.151
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