6 citations · 18 across the 11 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
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…