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Yoshikazu Nagata

Publications and source records attributed to Yoshikazu Nagata.

5 recordsLinked to original sources
arXiv2019

An extension theorem of holomorphic functions on hyperconvex domains

Let $n \geq 3$ and $Ω$ be a bounded domain in $\mathbb{C}^n$ with a smooth negative plurisubharmonic exhaustion function $φ$. As a generalization of Y. Tiba's result, we prove that any holomorphic function on a connected open neighborhood of the support of $(i\partial \bar \partial φ)^{n-2}$ in $Ω$ can be extended to the whole domain $Ω$. To prove it, we combine an $L^2$ version of Serre duality and Donnelly-Fefferman type estimates on $(n,n-1)$- and $(n,n)$- forms.

math.CV↗
arXiv2015

Effective actions of the general indefinite unitary groups on holomorphically separable manifolds

We determine all holomorphically separable complex manifolds of dimension $p+q$ which admits a smooth envelope of holomorphy such that the general indefinite unitary group of size $p+q$ acts effectively by holomorphic transformations. Also we give exact description of the automorphism groups of those complex manifolds. As an application we consider a characterization of those complex manifolds by their automorphism groups.

math.CV↗