Hyper-Kähler varieties: Lagrangian fibrations, atomic sheaves, and categories
arXiv:2603.23033
Abstract
We review recent developments in the theory of compact hyper-Kähler varieties, from the viewpoint of Lagrangian fibrations, moduli spaces of stable sheaves, and derived categories. These notes originated from the lecture by the second named author at the 2025 Summer Institute in Algebraic Geometry, Colorado State University, Fort Collins (USA), July 14 - August 1, 2025.
Contribution to the proceedings of the 2025 Summer Research Institute in Algebraic Geometry (Fort Collins). 43 pages. v2: Corrected misprints