Hyper-K\"ahler varieties: Lagrangian fibrations, atomic sheaves, and categories
Algebraic Geometry
2026-04-08 v2
Abstract
We review recent developments in the theory of compact hyper-K\"ahler 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.
Keywords
Cite
@article{arxiv.2603.23033,
title = {Hyper-K\"ahler varieties: Lagrangian fibrations, atomic sheaves, and categories},
author = {Alessio Bottini and Emanuele Macrì and Paolo Stellari},
journal= {arXiv preprint arXiv:2603.23033},
year = {2026}
}
Comments
Contribution to the proceedings of the 2025 Summer Research Institute in Algebraic Geometry (Fort Collins). 43 pages. v2: Corrected misprints