\(K\)-theory of curves over number fields

DOI10.1016/S0022-4049(02)00197-4zbMath1023.19002OpenAlexW1990918982MaRDI QIDQ1861512

Andreas Rosenschon, Paul Arne Østvær

Publication date: 9 March 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(02)00197-4

zbMATH Keywords

Bloch-Kato conjectureQuillen-Lichtenbaum conjecture at prime 2smooth curves over number fields

Mathematics Subject Classification ID

(K)-theory of schemes (19E08) (Q)- and plus-constructions (19D06)

Related Items (2)

Periodicity of hermitianK-groups ⋮ \(K\)-theory of surfaces at the prime 2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• p-adic K-theory of elliptic curves
• \(K_2\)-cohomology and the second Chow group
• On the K-theory of local fields
• On \(K_1\) of curves over global fields. Appendix by C. Weibel
• On the K-theory of algebraically closed fields
• Algebraic cycles and higher K-theory
• Continuous étale cohomology
• Mixed motives and algebraic K-theory. (Almost unchanged version of the author's habilitation at Univ. Regensburg 1988)
• On the cycle map for torsion algebraic cycles of codimension two
• Systèmes d'Euler \(p\)-adiques et théorie d'Iwasawa. (\(p\)-adic Euler systems and Iwasawa theory.)
• Tate's conjecture, algebraic cycles and rational \(K\)-theory in characteristic \(p\)
• \(K\)-theory of semi-local rings with finite coefficients and étale cohomology
• Algebraic K-theory and classfield theory for arithmetic surfaces
• Étale descent for real number fields
• Euler systems, Iwasawa theory, and Selmer groups
• Galois descent and \(K_ 2\) of number fields
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• MULTIPLICATIONS ON THE MOORE SPECTRUM
• On the Étale K-Theory of an Elliptic Curve with Complex Multiplication for Regular Primes
• Algebraic and Etale K-Theory
• Algebraic $K$-theory and etale cohomology
• Stable Homotopy Theory of Simplicial Presheaves
• The Etale Homotopy Type of Varieties over R
• Gersten's conjecture and the homology of schemes
• The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky
• Two-primary algebraic 𝐾-theory of rings of integers in number fields
• The spectral sequence relating algebraic K-theory to motivic cohomology
• The higher \(K\)-theory of complex varieties

This page was built for publication: \(K\)-theory of curves over number fields