1 citations · 1 across the 6 of their papers we have counts for
8 papers
A surface with representable -group but no universal zero-cycle
Theodosis Alexandrou
We introduce a new obstruction to the existence of a universal -cycle on a smooth projective complex variety. As an application, we construct a smooth projective complex surface…
Torsion higher Chow cycles modulo
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 and for each and $n\ge…
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…
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…
Torsion in Griffiths Groups
Theodosis Alexandrou
We show that for any integer there is a smooth complex projective variety of dimension whose third Griffiths group contains infinitely many t…
On Bloch's map for torsion cycles over non-closed fields
Theodosis Alexandrou, Stefan Schreieder
We generalize Bloch's map on torsion cycles from algebraically closed fields to arbitrary fields. While Bloch's map over algebraically closed fields is injective for zero-cycles an…
On the Brauer group of a generic Godeaux surface
Theodosis Alexandrou
Let be a Godeaux surface over and be its universal cover. We show that the pullback map is injective if $ρ(Y)…
The Generic Isogeny Decomposition of the Prym Variety of a Cyclic Branched Covering
Theodosis Alexandrou
Let be a cyclic branched covering of smooth projective surfaces over whose branch locus is a smooth ample divisor. Pick a ve…