Root systems and hyperkahler varieties

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arxiv 2206.14070 v1 pith:YESS57XF submitted 2022-06-28 math.AG

Valery Alexeev This is my paper · ORCID

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keywords rootsystemsvarietiesahlerconnectionhyperkhyperkahlerknown

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We point out a connection between root systems and some of the known hyperk\"ahler varieties.

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Boundedness of some fibered K-trivial varieties
math.AG 2025-07 conditional novelty 8.0 of 10

Fixed-dimension Calabi-Yau varieties with abelian or primitive symplectic fibrations are birationally bounded, and Lagrangian-fibered primitive symplectic varieties have finitely many deformation classes.