Koszul homology of codimension 3 Gorenstein ideals
Steven V Sam, Jerzy Weyman
TL;DR
This paper computes the Koszul homology for codimension 3 Gorenstein ideals, providing explicit filtrations and resolutions, and extends the analysis to Huneke-Ulrich deviation 2 ideals.
Contribution
It introduces explicit filtrations and resolutions for Koszul homology of codimension 3 Gorenstein ideals, advancing understanding of their algebraic structure.
Findings
Explicit filtrations for Koszul homology modules
Complete descriptions of free resolutions
Extension to Huneke-Ulrich deviation 2 ideals
Abstract
In this note, we calculate the Koszul homology of the codimension 3 Gorenstein ideals. We find filtrations for the Koszul homology in terms of modules with pure free resolutions and completely describe these resolutions. We also consider the Huneke-Ulrich deviation 2 ideals.
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