Cauchy-Schwarz-type inequalities on K\"ahler manifolds-II
Abstract
We establish in this note some Cauchy-Schwarz-type inequalities on compact K\"ahler manifolds, which generalize the classical Khovanskii-Teissier inequalities to higher-dimensional cases. Our proof is to make full use of the mixed Hodge-Riemann bilinear relations due to Dinh and Nguyen. A proportionality problem related to our main result is also proposed.
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