3 papers
math.NT2025
Bloch-Beilinson conjectures for Hecke characters and Eisenstein cohomology of Picard surfaces
Jitendra Bajpai, Mattia Cavicchi
We consider certain families of Hecke characters over a quadratic imaginary field . According to the Bloch-Beilinson conjectures, the order of vanishing of the -function…
math.AG2025
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…