2 papers
math.CO2026
An inequality for anti-self-polar polytopes
Mikhail G. Katz
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. Th…
math.DG2026
On comass and stable systolic inequalities
James J. Hebda, Mikhail G. Katz
We study the maximum ratio of the Euclidean norm to the comass norm of p-covectors in Euclidean n-space and improve the known upper bound found in the standard references by Whitne…