Constant scalar curvature Kähler metrics on fibred complex surfaces
Constant scalar curvature Kähler metrics on fibred complex surfaces
This article finds constant scalar curvature Kähler metrics on certain compact complex surfaces. The surfaces considered are those admitting a holomorphic submersion to curve, with fibres of genus at least 2. The proof is via an adiabatic limit. An approximate solution is constructed out of the hyperbolic metrics on the …