Two Cycle Class Maps on Torsion Cycles

Publikation: Arbeitspapier/Preprint › Preprint

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  • Theodosis Alexandrou

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OriginalspracheEnglisch
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 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.

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

Publikation: Arbeitspapier/Preprint › Preprint

Alexandrou, T. (2024). Two Cycle Class Maps on Torsion Cycles. Vorabveröffentlichung online.
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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