4 papers
Semisimplicity, purity and Mumford-Tate conjecture for hyper-Kähler varieties
Kazuhiro Ito, Haitao Zou
We prove the Mumford-Tate conjecture in every degree for hyper-Kähler varieties over fields finitely generated over . The proof establishes semisimplicity of -adi…
Close fields, affine Springer fibers and fundamental lemmas
Sebastian Bartling, Kazuhiro Ito
We prove a geometric local constancy theorem for affine Springer fibers in families of close local fields. Consequently, stable orbital integrals are locally constant in these fami…
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…
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…