Two Cycle Class Maps on Torsion Cycles

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Theodosis Alexandrou

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OriginalspracheEnglisch
Seiten (von - bis)11625–11641
Seitenumfang17
FachzeitschriftInternational Mathematics Research Notices
Jahrgang2024
Ausgabenummer16
Frühes Online-Datum19 Juni 2024
PublikationsstatusVeröffentlicht - Aug. 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.
in: International Mathematics Research Notices, Jahrgang 2024, Nr. 16, 08.2024, S. 11625–11641.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Alexandrou T. Two Cycle Class Maps on Torsion Cycles. International Mathematics Research Notices. 2024 Aug;2024(16):11625–11641. Epub 2024 Jun 19. doi: 10.48550/arXiv.2401.11014, 10.1093/imrn/rnae138
Alexandrou, Theodosis. / Two Cycle Class Maps on Torsion Cycles. in: International Mathematics Research Notices. 2024 ; Jahrgang 2024, Nr. 16. S. 11625–11641.
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