On higher-rank Khovanskii-Teissier inequalities

Abstract

We shall discuss a higher-rank Khovanskii-Teissier inequality, generalizing a theorem of Li. In the course of the proof, we develop new Hodge-Riemann bilinear relations in certain mixed settings, which in themselves slightly extend the existing results and imply new Khovanskii-Teissier type inequalities and log-concavity results.

arXiv commentV4: presentation reorganized, some details added, typos fixed

References in corpus (2)

• Hodge-index type inequalities, hyperbolic polynomials and complex Hessian equations
• Mixed Hodge-Riemann bilinear relations and $m$-positivity

Cited by in corpus (1)

• A note on Teissier problem for nef classes