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

Yoshikazu Nagata

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

Complex Variables 2015-12-24 v3

Authors: Yoshikazu Nagata

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.

Keywords

holomorphically separable manifold indefinite unitary group effective action envelope of holomorphy automorphism group complex manifold holomorphic transformation

Cite

@article{arxiv.1506.03940,
  title  = {Effective actions of the general indefinite unitary groups on holomorphically separable manifolds},
  author = {Yoshikazu Nagata},
  journal= {arXiv preprint arXiv:1506.03940},
  year   = {2015}
}

Comments

41 pages. arXiv admin note: text overlap with arXiv:1412.3217

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

Abstract

Keywords

Cite

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