On hyperbolicity of SU(2)-equivariant, punctured disc bundles over the complex affine quadric |
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Authors: | A Iannuzzi |
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Institution: | 1. Dipartimento di Matematica, Universit?? di Roma ??Tor Vergata??, Via della Ricerca Scientifica, I-00133, Roma, Italy
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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 ??max. By removing the zero section from ??max 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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