A numerical criterion for complex Hessian type equations on projective manifolds

2026/08/04 by Gao Chen, Sijie Nie, Yulun Xu
Mathematics · #math.DG

paper · pdf

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

arxiv created 2026/08/06 · arxiv updated 2026/08/07

Abstract

We prove a Nakai-Moishezon-type criterion for complex Hessian-type equations on projective manifolds whose associated degree-n 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.

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