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math.AG2024
Non-symplectic automorphisms of prime order of O'Grady's tenfolds and cubic fourfolds
Simone Billi, Annalisa Grossi
We give a lattice-theoretic classification of non-symplectic automorphisms of prime order of irreducible holomorphic symplectic manifolds of OG10 type. We determine which automorph…
math.AG2024
Irreducible symplectic varieties via relative Prym varieties
Emma Brakkee, Chiara Camere, Annalisa Grossi +3
Generalizing work of Markushevich--Tikhomirov and Arbarello--Saccà--Ferretti, we use relative Prym varieties to construct Lagrangian fibered symplectic varieties in infinitely many…
math.AG2024★ 3 cited
Terminalizations of quotients of compact hyperkähler manifolds by induced symplectic automorphisms
Valeria Bertini, Annalisa Grossi, Mirko Mauri +1
Terminalizations of symplectic quotients are sources of new deformation types of irreducible symplectic varieties. We classify all terminalizations of quotients of Hilbert schemes…