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arXiv · 1909.10794

Unstable blueprints can be shared

Karim Adiprasito
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Abstract

This expository note illustrates toric perturbation and biased pairing theory to show that Artinian reductions of face rings of $2$-spheres that do not satisfy the Lefschetz property can be cut along a flat equator. This complements classical work of Bricard and Connelly, and exhibits a fundamental symmetry in non-rigid triangulations of spheres.

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Karim Adiprasito. 2019-09-25. Unstable blueprints can be shared. https://arxiv.org/abs/1909.10794

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