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On odd dimensional complex analytic Kleinian groups
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On odd dimensional complex analytic Kleinian groups
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Paper
On odd dimensional complex analytic Kleinian groups
2018
Overview
We shall explain here an idea to generalize classical complex analytic Kleinian group theory to any odd dimensional cases. For a certain class of discrete subgroups of \\(\\PGL_{2n+1}(\\C)\\) acting on \\(\\P^{2n+1}\\), we can define their domains of discontinuity in a canonical manner, regarding an \\(n\\)-dimensional projective linear subspace in \\(\\P^{2n+1}\\) as a point, like a point in the classical \\(1\\)-dimensional case. Many interesting (compact) non-K\"ahler manifolds appear systematically as the canonical quotients of the domains. In the last section, we shall give some examples.
Publisher
Cornell University Library, arXiv.org
Subject
