Zero-cycles on quadric fibrations: Finiteness theorems and the cycle map

DOI10.1007/BF01231440zbMath0865.14002WikidataQ105474417 ScholiaQ105474417MaRDI QIDQ1910207

Raman Parimala, Venapally Suresh

Publication date: 13 May 1996

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

Full work available at URL: https://eudml.org/doc/144316

zbMATH Keywords

zero-cyclesrelative Chow group

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Varieties over global fields (11G35) Algebraic cycles (14C25) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items

The arithmetic of the Chow group of zero-cycles ⋮ Divisibility results for zero-cycles ⋮ Une liste de problèmes ⋮ Third Galois cohomology group of function fields of curves over number fields ⋮ On Bloch’s map for torsion cycles over non-closed fields ⋮ A finiteness theorem for zero-cycles over \(p\)-adic fields ⋮ Torsion algebraic cycles and complex cobordism ⋮ A finiteness theorem for the Chow group of zero-cycles of a linear algebraic group on a \(p\)-adic field ⋮ Finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves ⋮ Principe local-global pour les zéro-cycles sur les surfaces réglées ⋮ Zero cycles on conic fibrations and a conjecture of Bloch ⋮ The Brauer–Manin pairing, class field theory, and motivic homology ⋮ On Chow and Brauer groups of a product of Mumford curves ⋮ Hasse principle for the Chow groups of zero-cycles on quadric fibrations ⋮ Isotropy of quadratic forms over function fields of \(p\)-adic curves

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