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arXiv · 2304.01381

Free resolutions constructed from bigradings on Lie algebras

Xianglong Ni·Jerzy Weyman
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Abstract

We construct two families of free resolutions that resolve the ideals of certain opposite Schubert varieties restricted to the big open cell. We conjecture that these examples have genericity properties translating to structure theorems for perfect ideals with given Betti numbers, extending the well-known theorem of Buchsbaum and Eisenbud on Gorenstein ideals of codimension three.

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Xianglong Ni, Jerzy Weyman. 2023-04-03. Free resolutions constructed from bigradings on Lie algebras. https://arxiv.org/abs/2304.01381

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