Diagonalizations of denormalized volume polynomials
Julius Ross, Hendrik S\"u{\ss}
TL;DR
This paper investigates properties of denormalized volume polynomials, demonstrating that certain operations preserve their structure and exploring implications for poset inequalities.
Contribution
It introduces the preservation of denormalized volume polynomial properties under diagonalization, products, and truncations, and discusses applications to poset inequalities.
Findings
Diagonalization preserves denormalized volume polynomial property
Products and lower truncations also preserve this property
Application to inequalities in partially ordered sets
Abstract
We show that diagonalization, products and lower truncations preserve the property of being a denormalized volume polynomial. We also discuss an application to poset inequalities.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques