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

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Abstract

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

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  1. Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, I-00133, Roma, Italy

    A. Iannuzzi

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  1. A. Iannuzzi
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Correspondence to A. Iannuzzi.

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Iannuzzi, A. On hyperbolicity of SU(2)-equivariant, punctured disc bundles over the complex affine quadric. Transformation Groups 17, 499–512 (2012). https://doi.org/10.1007/s00031-011-9167-0

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