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arXiv · 1506.03940

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

Yoshikazu Nagata
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Abstract

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.

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Yoshikazu Nagata. 2015-06-12. Effective actions of the general indefinite unitary groups on holomorphically separable manifolds. https://arxiv.org/abs/1506.03940

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