2020arXiv (Cornell University)Open access

On the extensions of Kähler currents on compact Kähler manifolds

Zhiwei Wang, Xiangyu Zhou

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Abstract

Let $(X,ω)$ be a compact Kähler manifold with a Kähler form $ω$ of complex dimension $n$, and $V\subset X$ is a compact complex submanifold of positive dimension $k

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What this paper is about

Let $(X,ω)$ be a compact Kähler manifold with a Kähler form $ω$ of complex dimension $n$, and $V\subset X$ is a compact complex submanifold of positive dimension $k

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Available abstract

Let $(X,ω)$ be a compact Kähler manifold with a Kähler form $ω$ of complex dimension $n$, and $V\subset X$ is a compact complex submanifold of positive dimension $k

Key concepts: Kähler manifold, Holomorphic function, Submanifold, Omega, Rank (graph theory), Dimension (graph theory), Complex dimension, Section (typography)

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