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arXiv · 2603.23033

Hyper-K\"ahler varieties: Lagrangian fibrations, atomic sheaves, and categories

Alessio Bottini·Emanuele Macrì·Paolo Stellari
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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.

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Alessio Bottini, Emanuele Macrì, Paolo Stellari. 2026-03-24. Hyper-K\"ahler varieties: Lagrangian fibrations, atomic sheaves, and categories. https://arxiv.org/abs/2603.23033

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