Complex Hyperbolic Structures on Disc Bundles over Surfaces I. General Settings. a Series of Examples

  • Sasha Ananin, Carlos H. Grossi, Nikolay Gusevskii, SASHA ANANIN, CARLOS H. GROSSI, NIKOLAY GUSEVSKII
  • Published 2008


We study oriented disc bundles M over a closed orientable surface Σ that arise from certain discrete subgroups in PU(2, 1) generated by reflections in ultraparallel complex geodesics in the complex hyperbolic plane H2 C . The results obtained allow us to construct the first examples of • Disc bundles M over Σ that satisfy the equality 2(χ+ e) = 3τ , • Disc… (More)