arXiv:2204.07758 Abstract | arXiv Analytics

arXiv:2204.07758 [math.CO]Abstract References Reviews Resources

On the anisotropy theorem of Papadakis and Petrotou

Published 2022-04-16Version 1

We study the anisotropy theorem for Stanley-Reisner rings of simplicial spheres by Papadakis and Petrotou. Our first result is an explicit description of the quadratic form, allowing a simplification of the proof. We prove a further conjecture stated by Papadakis and Petrotou, and study anisotropy in characteristic 0.

Comments: 18 pages, 3 figures

Categories: math.CO, math.AC, math.AG

Subjects: 13F55, 05E40, 05E45, 14M25

Keywords: anisotropy theorem, study anisotropy, stanley-reisner rings, quadratic form, explicit description

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