collaborators

4 papers

math.NT2020

On a torsion analogue of the weight-monodromy conjecture

Kazuhiro Ito

We formulate and study a torsion analogue of the weight-monodromy conjecture for a proper smooth scheme over a non-archimedean local field. We prove it for proper smooth schemes ov…

math.AG2020

Uniform local constancy of étale cohomology of rigid analytic varieties

Kazuhiro Ito

We prove some -independence results on local constancy of étale cohomology of rigid analytic varieties. As a result, we show that a closed subscheme of a proper scheme over a…

math.NT2018

CM liftings of K3 surfaces over finite fields and their applications to the Tate conjecture

Kazuhiro Ito, Tetsushi Ito, Teruhisa Koshikawa

We give applications of integral canonical models of orthogonal Shimura varieties and the Kuga-Satake morphism to the arithmetic of K3 surfaces over finite fields. We prove every K…

math.AG2018

Deformations of rational curves in positive characteristic

Kazuhiro Ito, Tetsushi Ito, Christian Liedtke

We study deformations of rational curves and their singularities in positive characteristic. We use this to prove that if a smooth and proper surface in positive characteristic …