# Concave elliptic equations and generalized Khovanskii-Teissier inequalities

## TL;DR

This paper introduces a general framework linking concave elliptic operators on complex manifolds to concave functions on cohomology, resulting in generalized Khovanskii-Teissier inequalities.

## Contribution

It provides a novel construction that extends classical inequalities to a broader setting using concave elliptic operators.

## Key findings

- Established a method to derive concave functions from elliptic operators
- Generalized Khovanskii-Teissier inequalities for complex manifolds
- Unified various inequalities under a common framework

## Abstract

We explain a general construction through which concave elliptic operators on complex manifolds give rise to concave functions on cohomology. In particular, this leads to generalized versions of the Khovanskii-Teissier inequalities.