2017/07/28 by Kato, Masahide
#Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.1707.09104
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 \PGL2n+1(\C) acting on ¶2n+1, we can define their domains of discontinuity in a canonical manner, regarding an n-dimensional projective linear subspace in ¶2n+1 as a point, like a point in the classical 1-dimensional case. Many interesting (compact) non-Kähler manifolds appear systematically as the canonical quotients of the domains. In the last section, we shall give some examples.