On \(K_1\) of curves over global fields. Appendix by C. Weibel
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Publication:920155
DOI10.1007/BF01444528zbMath0708.14004OpenAlexW2067995194MaRDI QIDQ920155
Publication date: 1990
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/164730
Galois cohomology\(K_1\)curve over a global fieldlocal class field theory of curvessurfaces over finite fields
Arithmetic ground fields for curves (14H25) Global ground fields in algebraic geometry (14G25) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) (K)-theory in geometry (19E99)
Related Items (7)
Some finiteness results for the group \(SK_1\) of a biquaternion algebra ⋮ Roitman's theorem for singular complex projective surfaces ⋮ Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: Un théorème de finitude pour la torsion. (The codimension two Chow group of varieties defined over a number field: A finiteness theorem for the torsion) ⋮ Class field theory for a product of curves over a local field ⋮ Cycles on curves over global fields of positive characteristic ⋮ Abel-Jacobi mappings and finiteness of motivic cohomology groups ⋮ \(K\)-theory of curves over number fields
Cites Work
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- Hilbert's theorem 90 for \(K^ 2\), with application to the Chow groups of rational surfaces
- Application d'Abel-Jacobi p-adique et cycles algébriques. (p-adic Abel- Jacobi map and algebraic cycles)
- Groupes de Chow et K-théorie de variétés sur un corps fini
- Class field theory for curves over local fields
- \(p\)-adic étale cohomology
- Rational equivalence on singular varieties
- Algebraic K-theory and classfield theory for arithmetic surfaces
- A Hasse principle for two dimensional global fields.
- Some theorems on the k-theory of coherent sheaves
- Higher algebraic K-theory: I
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