射影流形上复Hessian型方程的数值准则
A numerical criterion for complex Hessian type equations on projective manifolds
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中文总结 AI 辅助
本研究针对射影流形上的复Hessian型方程，证明了对应于强严格右诺特多项式及任意次数严格右诺特多项式的Nakai-Moishezon型准则，覆盖复Hessian方程等相关方程类。
中文摘要 AI 辅助
我们证明了射影流形上复Hessian型方程的Nakai-Moishezon型准则，其关联的n次多项式为强严格右诺特多项式；对任意次数的严格右诺特多项式，还证明了统一的Nakai-Moishezon型准则，该类包含复Hessian方程与Hessian商方程。
英文摘要
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.
