Teruhisa Koshikawa

activity

20152025

most citedThe

A_{in f}

-cohomology in the semistable case

19 citations · 50 across the 15 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.AG2022

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…

math.NT2022

Relative $A_{inf}$ -cohomology

Ildar Gaisin, Teruhisa Koshikawa

We construct a relative version of the $A_{inf}$ -cohomology theory developed by Bhatt-Morrow-Scholze and relate it to the prismatic theory of Bhatt-Scholze. The construction re…

math.AG2022★ 1 cited

The numerical Hodge standard conjecture for the square of a simple abelian variety of prime dimension

Teruhisa Koshikawa

We prove the numerical Hodge standard conjecture for the square of a simple abelian variety of prime dimension, and also in some related cases.

The Hodge standard conjecture for self-products of K3 surfaces

Relative Ainf​-cohomology

The numerical Hodge standard conjecture for the square of a simple abelian variety of prime dimension

Relative $A_{inf}$ -cohomology