19 citations · 50 across the 15 of their papers we have counts for
6 papers · 1 filter
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…
Logarithmic prismatic cohomology II
Teruhisa Koshikawa, Zijian Yao
We continue to study the logarithmic prismatic cohomology defined by the first author, and complete the proof of the de Rham comparison and étale comparison generalizing those of B…
The Hodge standard conjecture for self-products of K3 surfaces
Kazuhiro Ito, Tetsushi Ito, Teruhisa Koshikawa
As an application of our previous work on CM liftings of K3 surfaces and the Tate conjecture, we prove the Hodge standard conjecture for squares of K3 surfaces. We also deduce the…
The numerical Hodge standard conjecture for the square of a simple abelian variety of prime dimension
Teruhisa Koshikawa
We prove the numerical Hodge standard conjecture for the square of a simple abelian variety of prime dimension, and also in some related cases.
Logarithmic Prismatic Cohomology I
Teruhisa Koshikawa
We introduce a logarithmic variant of the notion of -rings, which we call -rings, and use it to define a logarithmic version of the prismatic site introduced by Bhatt…
Overconvergent unit-root F-isocrystals and isotriviality
Teruhisa Koshikawa
We show that a semisimple overconvergent "absolutely unit-root" F-isocrystal on a geometrically connected smooth variety over a finite field becomes constant over a finite covering…