6 citations · 18 across the 11 of their papers we have counts for
12 papers
Deformation theory for prismatic -displays
Kazuhiro Ito
For a smooth affine group scheme over the ring of -adic integers and a cocharacter of , we develop the deformation theory for --displays over the prismatic site…
Prismatic -displays and descent theory
Kazuhiro Ito
For a smooth affine group scheme over the ring of -adic integers and a cocharacter of , we study --displays over the prismatic site of Bhatt-Scho…
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…
-complete arc-descent for perfect complexes over integral perfectoid rings
Kazuhiro Ito
We prove -complete arc-descent results for finite projective modules and perfect complexes over integral perfectoid rings. Using our results, we clarify a reduction argument in…
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…
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…
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…
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 …
On the supersingular reduction of K3 surfaces with complex multiplication
Kazuhiro Ito
We study the good reduction modulo p of K3 surfaces with complex multiplication. If a K3 surface with complex multiplication has good reduction, we calculate the Picard number and…
Finiteness of Brauer groups of K3 surfaces in characteristic 2
Kazuhiro Ito
For a K3 surface over a field of characteristic 2 which is finitely generated over its prime subfield, we prove that the cokernel of the natural map from the Brauer group of the ba…
Unconditional construction of K3 surfaces over finite fields with given L-function in large characteristic
Kazuhiro Ito
We give an unconditional construction of K3 surfaces over finite fields with given L-function, up to finite extensions of the base fields, under some mild restrictions on the chara…
Existence of supersingular reduction for families of K3 surfaces with large Picard number in positive characteristic
Kazuhiro Ito
We study non-isotrivial families of surfaces in positive characteristic whose geometric generic fibers satisfy and , where is the Picard number an…