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math.AG2025
Arithmetic monodromy of hyper-Kähler varieties over -adic fields
Kazuhiro Ito, Tetsushi Ito, Teruhisa Koshikawa +2
In this paper, we study the -adic and -adic monodromy operators associated with hyper-Kähler varieties over -adic fields, in connection with Looijenga-Lunts-Verbitsky L…
math.AG2024
Vanishing of Brauer groups of moduli stacks of stable curves
Sebastian Bartling, Kazuhiro Ito
We show that the cohomological Brauer groups of the moduli stacks of stable genus curves over the integers and an algebraic closure of the rational numbers vanish for any $g\ge…