First and second K-groups of an elliptic curve over a global field of positive characteristic

DOI10.5802/aif.3202zbMath1429.11207arXiv1711.05749OpenAlexW2964086664WikidataQ128861548 ScholiaQ128861548MaRDI QIDQ4610361

Seidai Yasuda, Satoshi Kondo

Publication date: 15 January 2019

Published in: Annales de l’institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.05749

zbMATH Keywords

function fieldelliptic curveK-theorymotivic cohomology

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Elliptic curves over global fields (11G05) Whitehead groups and (K_1) (19B99) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27) Motivic cohomology; motivic homotopy theory (14F42) Steinberg groups and (K_2) (19C99)

Related Items (1)

Motivic cohomology and \(K\)-theory of some surfaces over finite fields

Cites Work

• Unnamed Item
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• On two higher Chow groups of schemes over a finite field
• Higher Chern classes and Steenrod operations in motivic cohomology
• 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
• Torsion dans le groupe de Chow de codimension deux
• Algebraic cycles and higher K-theory
• Imbedding of an abstract variety in a complete variety
• Riemann-Roch theorems for higher algebraic K-theory
• Algebraic K-theory II - ``Classical algebraic K-theory, and connections with arithmetic. Proceedings of the conference held at the Seattle Research Center of the Battelle Memorial Institute, Seattle/WA (USA), Aug. 28-Sept. 8, 1972.
• Milnor \(K\)-theory is the simplest part of algebraic \(K\)-theory
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• Desingularization of two-dimensional schemes
• Die Kohomologie S-arithmetischer Gruppen über Funktionenkörpern
• A generalization of local class field theory by using K-groups. II
• Tate's conjecture, algebraic cycles and rational \(K\)-theory in characteristic \(p\)
• Homological and cohomological motives of algebraic varieties
• Weight filtrations via commuting automorphisms
• The \(K\)-theory of fields in characteristic \(p\)
• Unramified class field theory of arithmetical surfaces
• The Riemann-Roch theorem without denominators in motivic homotopy theory
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
• Lectures on \(p\)-divisible groups
• On the cohomology and K-theory of the general linear groups over a finite field
• On the second rational K -group of an elliptic curve over global fields of positive characteristic
• Algebraic K -theory, A ¹ -homotopy and Riemann-Roch theorems
• Slopes of powers of Frobenius on crystalline cohomology
• Values of Zeta Functions of Varieties Over Finite Fields
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Duality in the flat cohomology of a surface
• Cycles, Transfers, and Motivic Homology Theories. (AM-143)
• The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky
• The homotopy coniveau tower
• Elliptic Curves and Wild Ramification
• \(\mathbb{A}^1\)-homotopy theory of schemes

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