Spinor structures on free resolutions of codimension four Gorenstein ideals
Ela Celikbas, Jai Laxmi, Jerzy Weyman
TL;DR
This paper investigates the structure of spinor coordinates in free resolutions of codimension four Gorenstein ideals and constructs a new family of such ideals that are not derived from existing models.
Contribution
It introduces a novel analysis of spinor structures on Gorenstein ideals and produces examples not obtainable through Kustin-Miller models.
Findings
Identified the structure of spinor coordinates in these resolutions.
Constructed a new family of Gorenstein ideals with seven generators.
Showed these ideals are not specializations of known models.
Abstract
We analyze the structure of spinor coordinates on resolutions of Gorenstein ideals of codimension four. As an application we produce a family of such ideals with seven generators which are not specializations of Kustin-Miller model.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory