Hilbert's theorem 90 for \(K^ 2\), with application to the Chow groups of rational surfaces

DOI10.1007/BF01393336zbMath0527.14011OpenAlexW2314530875MaRDI QIDQ595717

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142982

zbMATH Keywords

good reduction rational point rational surface Chow groups vanishing theorem rational equivalence finiteness theorems geometrically integral variety group of zero-dimensional cycles K-theoretic methods

Mathematics Subject Classification ID

Rational points (14G05) Rational and unirational varieties (14M20) Parametrization (Chow and Hilbert schemes) (14C05) Algebraic cycles (14C25) Special surfaces (14J25) (Equivariant) Chow groups and rings; motives (14C15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

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Cites Work