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math.AG2022★ 3 cited
Hecke orbits on Shimura varieties of Hodge type
Marco D'Addezio, Pol van Hoften
We prove the Hecke orbit conjecture of Chai--Oort for Shimura varieties of Hodge type at odd primes of good reduction. We use a novel result for the local monodromy groups of -i…
math.AG2022★ 2 cited
Boundedness of the -primary torsion of the Brauer group of an abelian variety
Marco D'Addezio
We prove that the -torsion of the transcendental Brauer group of an abelian variety over a finitely generated field of characteristic is bounded. This answers a (va…