Lagrangian Fibrations

Milan J Math. 2022;90(2):459-483. doi: 10.1007/s00032-022-00349-y. Epub 2022 Mar 19.

Abstract

We review the theory of Lagrangian fibrations of hyperkähler manifolds as initiated by Matsushita. We also discuss more recent work of Shen-Yin and Harder-Li-Shen-Yin. Occasionally, we give alternative arguments and complement the discussion by additional observations.