Theodosis Alexandrou

activity

20242026

collaborators

4 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 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…

math.AG2024

Truncated pushforwards and refined unramified cohomology

Theodosis Alexandrou, Stefan Schreieder

For a large class of cohomology theories, we prove that refined unramified cohomology is canonically isomorphic to the hypercohomology of a natural truncated complex of Zariski she…

math.AG2024

Two Cycle Class Maps on Torsion Cycles

Theodosis Alexandrou

We compare two cycle class maps on torsion cycles and show that they agree up to a minus sign. The first one goes back to Bloch (1979), with recent generalizations to non-closed fi…

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

Torsion higher Chow cycles modulo ℓ

Truncated pushforwards and refined unramified cohomology

Two Cycle Class Maps on Torsion Cycles

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

Torsion higher Chow cycles modulo $ℓ$