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arXiv · 2604.02376

An inequality for anti-self-polar polytopes

Mikhail G. Katz
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Abstract

We prove an inequality for the f-vectors of anti-self-polar polytopes conjectured by Katz in 1989. The proof uses Kalai's combinatorial inequality based on a result of Whiteley. The inequality can also be obtained from the results of Stanley and Karu which however involve difficult algebraic geometry.

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Mikhail G. Katz. 2026-04-01. An inequality for anti-self-polar polytopes. https://doi.org/10.1007/s00283-025-10452-8

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