Theodosis Alexandrou

collaborators

3 papers

math.AG2026

A surface with representable $CH_{0}$ -group but no universal zero-cycle

Theodosis Alexandrou

We introduce a new obstruction to the existence of a universal $0$ -cycle on a smooth projective complex variety. As an application, we construct a smooth projective complex surface…

math.AG2025

Torsion in Griffiths Groups

Theodosis Alexandrou

We show that for any integer $n \geq 2$ there is a smooth complex projective variety $X$ of dimension $5$ whose third Griffiths group $Griff^{3} (X)$ contains infinitely many t…

math.AG2025

Torsion higher Chow cycles modulo $ℓ$

Theodosis Alexandrou, Lin Zhou

We study the injectivity property of certain actions of higher Chow groups on refined unramified cohomology. As an application for every $p \geq 1$ and for each $d \geq p + 4$ and $n\ge…

A surface with representable CH0​-group but no universal zero-cycle

Torsion in Griffiths Groups

Torsion higher Chow cycles modulo ℓ

A surface with representable $CH_{0}$ -group but no universal zero-cycle

Torsion higher Chow cycles modulo $ℓ$