Selmer groups and zero-cycles on the Fermat quartic surface

DOI10.1515/crll.2000.063zbMath1018.11033OpenAlexW1994248077MaRDI QIDQ4505657

Noriyuki Otsubo

Publication date: 2 January 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2000.063

zbMATH Keywords

finitenessSelmer groupsChow group of zero-cyclescorank\(p\)-primary torsion partconjectures of Beilinson and Bloch-KatoFermat quartic surface

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Varieties over global fields (11G35) Global ground fields in algebraic geometry (14G25) (Equivariant) Chow groups and rings; motives (14C15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Cites Work

• 0-cycles on the self product of a CM elliptic curve over ℚ
• Gersten's conjecture and the homology of schemes
• Unnamed Item

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