Base manifolds for Lagrangian fibrations on hyperk\"ahler manifolds
Algebraic Geometry
2015-04-17 v2
Abstract
We show that the base manifold of a Lagrangian fibration on a hyperk\"ahler manifold is isomorphic to complex projective space. This generalises a theorem of J.-M. Hwang to the K\"ahler case.
Keywords
Cite
@article{arxiv.1303.3919,
title = {Base manifolds for Lagrangian fibrations on hyperk\"ahler manifolds},
author = {Daniel Greb and Christian Lehn},
journal= {arXiv preprint arXiv:1303.3919},
year = {2015}
}
Comments
4 pages; v2: minor changes, final version, to appear in IMRN