Conification of Kähler and hyper-Kähler manifolds

Dmitri V. Alekseevsky, Vicente Cortés, Thomas Mohaupt

Given a Kähler manifold $M$ endowed with a Hamiltonian Killing vector field $Z$, we construct a conical Kähler manifold $\hat{M}$ such that $M$ is recovered as a Kähler quotient of…