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math.AG2026
Stability conditions and moduli spaces on projective families
Chunyi Li, Zhiyu Liu, Ziqi Liu +4
We extend the construction of stability conditions on projective schemes over a field to projective families over an arbitrary base, and prove that they admit proper relative modul…
math.AG2026
Hyper-Kähler varieties: Lagrangian fibrations, atomic sheaves, and categories
Alessio Bottini, Emanuele Macrì, Paolo Stellari
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.…