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math.AG2024
Integral aspects of Fourier duality for abelian varieties
Junaid Hasan, Hazem Hassan, Milton Lin +3
We prove several results about integral versions of Fourier duality for abelian schemes, making use of Pappas's work on integral Grothendieck-Riemann-Roch. If is smooth quasi-p…
math.AG2024
A remark on the paper of Deninger and Murre
Ben Moonen
We show that the results proven by Deninger and Murre directly imply that the Chern classes of the de Rham bundle of an abelian scheme are torsion elements in the Chow ring, a resu…
math.AG2024
A classification of Shimura curves in
Ben Moonen
We give a precise classification, in terms of Shimura data, of all 1-dimensional Shimura subvarieties of a moduli space of polarized abelian varieties.