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math.AG2025★ 1 cited
Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations
Giuseppe Ancona, Mattia Cavicchi, Robert Laterveer +1
We show that the hyper-Kähler varieties of OG10-type constructed by Laza-Saccà -Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general res…
math.AG2025
The motivic Hecke algebra for PEL Shimura varieties
Mattia Cavicchi
We construct a motivic lift of the action of the Hecke algebra on the cohomology of PEL Shimura varieties . To do so, when is associated with a reductive algebraic group…