Kazuhiro Ito

activity

20162023

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

6 citations · 18 across the 11 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.NT2016★ 2 cited

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…

math.AG2016

Existence of supersingular reduction for families of K3 surfaces with large Picard number in positive characteristic

Kazuhiro Ito

We study non-isotrivial families of $K 3$ surfaces in positive characteristic $p$ whose geometric generic fibers satisfy $ρ \geq 21 - 2 h$ and $h \geq 3$ , where $ρ$ is the Picard number an…