A self-dual complete resolution

Abstract

In this paper, we construct a self-dual complete resolution of a module defined by a pair of embedded complete intersection ideals in a local ring. Our construction is based on a gluing construction of Herzog and Martsinkovsky and exploits the structure of Koszul homology in the embedded complete intersection case. As a consequence of our construction, we produce an isomorphism between certain stable homology and cohomology modules.

Publisher

World Scientific Publishing

Publication Date

1-1-2023

Publication Title

Journal of Algebra and Its Applications (JAA)

Department

Mathematics

Document Type

Article

DOI

https://dx.doi.org/10.1142/S0219498823502237

Keywords

Complete resolutions, Koszul homology, Self-duality, Embedded complete intersections

Language

English

Format

text

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