Complex Hessian equations with prescribed singularity on compact Kahler manifolds

被引：0

作者：

Lu, Chinh H. ^{[1
]}

Nguyen, Van-don

机构：

[1] Univ Paris Saclay, CNRS, Lab Math dOrsay, F-91405 Orsay, France

来源：

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2022年 / 23卷 / 01期

关键词：

MONGE-AMPERE EQUATIONS; DIRICHLET PROBLEM; VARIATIONAL APPROACH; VISCOSITY SOLUTIONS; ELLIPTIC-EQUATIONS; METRIC GEOMETRY; MONOTONICITY; ENVELOPES; ENERGY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (X, co) be a compact Kahler manifold of dimension n and fix 1 < m < n. We prove that the total mass of the complex Hessian measure of co- m-subharmonic functions is non-decreasing with respect to the singularity type. We then solve complex Hessian equations with prescribed singularity, and prove a Hodge index type inequality for positive currents.

引用

页码：425 / 462

页数：38

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