English

Lagrangian fibrations

Algebraic Geometry 2022-02-02 v2

Abstract

We review the theory of Lagrangian fibrations of hyperk\"ahler 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.

Cite

@article{arxiv.2108.10193,
  title  = {Lagrangian fibrations},
  author = {Daniel Huybrechts and Mirko Mauri},
  journal= {arXiv preprint arXiv:2108.10193},
  year   = {2022}
}

Comments

25 pages. To appear at MJM. Minor changes

R2 v1 2026-06-24T05:20:55.983Z