English

Unstable blueprints can be shared

Combinatorics 2019-09-26 v2 Algebraic Geometry

Abstract

This expository note illustrates toric perturbation and biased pairing theory to show that Artinian reductions of face rings of 22-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.

Cite

@article{arxiv.1909.10794,
  title  = {Unstable blueprints can be shared},
  author = {Karim Adiprasito},
  journal= {arXiv preprint arXiv:1909.10794},
  year   = {2019}
}

Comments

wrong tex file with spoilers. expository note. overlap with arXiv:1812.10454, arXiv:1906.05859

R2 v1 2026-06-23T11:24:04.166Z