Daiki Kawabe

collaborators

3 papers

math.AG2023

Grothendieck's period conjecture for Kummer surfaces of self-product CM type

Daiki Kawabe

We show that the Grothendieck period conjecture holds for the Kummer surface associated with the square of a CM elliptic curve. This means that the period isomorphism is dense in t…

math.AG2022

Chow motives of genus one fibrations

Daiki Kawabe

Let $f : X \to C$ be a genus 1 fibration from a smooth projective surface, i.e. its generic fiber is a regular genus 1 curve. Let $j : J \to C$ be the Jacobian fibrat…

math.AG2022

Chow motives of quasi elliptic surfaces

Daiki Kawabe

We prove that the transcendental motive of any quasi elliptic surface is trivial. To prove this, we focus on the uniruledness of quasi elliptic surfaces.