On the extensions of K\"ahler currents on compact K\"{a}hler manifolds

12 Oct 2020 Wang Zhiwei Zhou Xiangyu

Let $(X,\omega)$ be a compact K\"{a}hler manifold with a K\"{a}hler form $\omega$ of complex dimension $n$, and $V\subset X$ is a compact complex submanifold of positive dimension $k<n$. Suppose that $V$ can be embedded in $X$ as a zero section of a holomorphic vector bundle or rank $n-k$ over $V$... (read more)

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  • COMPLEX VARIABLES
  • DIFFERENTIAL GEOMETRY