On hyperbolicity of SU(2)-equivariant, punctured disc bundles over the complex affine quadric

被引：0

作者：

Iannuzzi, A. ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

来源：

TRANSFORMATION GROUPS | 2012年 / 17卷 / 02期

关键词：

Holomorphic line bundle; Kobayashi hyperbolicity; Stein manifold; COMPLEXIFICATION; SPACES;

D O I：

10.1007/s00031-011-9167-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a holomorphic line bundle over the complex affine quadric (2), we investigate its Stein, SU(2)-equivariant disc bundles. Up to equivariant biholomorphism, these are all contained in a maximal one, say Omega(max). By removing the zero section from Omega(max) one obtains the unique Stein, SU(2)-equivariant, punctured disc bundle over (2) which contains entire curves. All other such punctured disc bundles are shown to be Kobayashi hyperbolic.

引用

页码：499 / 512

页数：14

共 35 条

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[J]. Annals of Global Analysis and Geometry, 2022, 61 (2) : 399 - 426

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