paper

A numerical criterion for complex Hessian type equations on projective manifolds

arXiv:2608.03815

Abstract

We prove a Nakai-Moishezon-type criterion for complex Hessian-type equations on projective manifolds whose associated degree- polynomials are strongly strictly right-Noetherian. For strictly right-Noetherian polynomials of arbitrary degree, we prove a uniform Nakai-Moishezon-type criterion. This class includes the complex Hessian and Hessian quotient equations.

This revision fixes the gap in the previous version that omega is not Kahler a prior

A numerical criterion for complex Hessian type equations on projective manifolds · wovepaper