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