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math.NT2021★ 2 cited
On the ordinary Hecke orbit conjecture
Pol van Hoften
We prove the ordinary Hecke orbit conjecture for Shimura varieties of Hodge type at primes of good reduction. We make use of the global Serre-Tate coordinates of Chai as well as re…
math.NT2021★ 2 cited
Monodromy and Irreducibility of Igusa Varieties
Pol van Hoften, Luciena Xiao Xiao
We determine the irreducible components of Igusa varieties for Shimura varieties of Hodge type under a mild condition and use that to compute the irreducible components of central…