On normal subgroups in the fundamental groups of complex surfaces
| dc.creator | Kapovich, Michael | |
| dc.date | 1998-08-18 | |
| dc.date.accessioned | 2026-07-07T05:25:45Z | |
| dc.date.available | 2026-07-07T05:25:45Z | |
| dc.description | We show that for each aspherical compact complex surface $X$ whose fundamental group $π$ fits into a short exact sequence $$ 1\to K \to π\to π_1(S) \to 1 $$ where $S$ is a compact hyperbolic Riemann surface and the group $K$ is finitely-presentable, there is a complex structure on $S$ and a nonsingular holomorphic fibration $f: X\to S$ which induces the above short exact sequence. In particular, the fundamental groups of compact complex-hyperbolic surfaces cannot fit into the above short exact sequence. As an application we give the first example of a non-coherent uniform lattice in $PU(2,1)$. | |
| dc.identifier | https://arxiv.org/abs/math/9808085 | |
| dc.identifier | http://arxiv.org/abs/math/9808085 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77301 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Geometry | |
| dc.title | On normal subgroups in the fundamental groups of complex surfaces | |
| dc.type | text |