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arxiv: 1903.03021 · v1 · pith:55C3VNATnew · submitted 2019-03-07 · 🧮 math.DG · math.CV· math.GR

Three-dimensional sol manifolds and complex kleinian groups

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keywords mathbbcasecomplexdescriptiongiveomegaquotientspace
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We give a topological description of the quotient space $\Omega(G)/G$ in the case $G \subset PSL(3, \mathbb{C})$ is a discrete subgroup acting on $\mathbb{P}^2_\mathbb{C}$ and the maximum number of complex projective lines in general position contained in Kulkarni's limit set, $\Lambda(G)$, is 4. We also give a topological description of the quotient space $\Omega(G)/G$ in the case $G$ a lattice of Heisenberg's group.

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