Two Cycle Class Maps on Torsion Cycles

Research output: Working paper/Preprint › Preprint

Authors

  • Theodosis Alexandrou

Research Organisations

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Details

Original languageEnglish
Publication statusE-pub ahead of print - 19 Jan 2024

Abstract

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 fields. The second is the \'etale motivic cycle class map \(\alpha^{i}_{X}\colon \text{CH}^{i}(X)_{\mathbb{Z}_{\ell}}\to H^{2i}_{L}(X,\mathbb{Z}_{\ell}(i))\) restricted to torsion cycles.

Keywords

    math.AG, 14C15, 14C25 (Primary)

Cite this

Two Cycle Class Maps on Torsion Cycles. / Alexandrou, Theodosis.
2024.

Research output: Working paper/Preprint › Preprint

Alexandrou, T. (2024). Two Cycle Class Maps on Torsion Cycles. Advance online publication.
Alexandrou T. Two Cycle Class Maps on Torsion Cycles. 2024 Jan 19. Epub 2024 Jan 19.
Alexandrou, Theodosis. / Two Cycle Class Maps on Torsion Cycles. 2024.
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