scientific article

zbMath0579.16002MaRDI QIDQ3701577

Per Salberger

Publication date: 1985

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Galois cohomologyclass groupGrothendieck groupcentral simple algebraChow groupcup-productDedekind ringcoordinate ringglobal sectionsfiniteness theoremsreduced normsmooth affine curveSeveri-Brauer schemesaffine k-algebraconic bundle surface0-dimensional cyclesfinitely generated locally free \(\Lambda\)-moduleshereditary R-orderMerkur'ev-Suslin theoremsQuillen resolutionsheaves of orders

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Grothendieck groups, (K)-theory, etc. (16E20) Parametrization (Chow and Hilbert schemes) (14C05) Algebraic cycles (14C25) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) (K)-theory of global fields (11R70) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Galois cohomology (11R34) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

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The arithmetic of the Chow group of zero-cycles ⋮ The arithmetic of rational varieties ⋮ Zero-cycles on rational surfaces over number fields ⋮ Zero-cycles on del Pezzo surfaces. Variations on a theme by Daniel Coray

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