p-adic K-theory of elliptic curves

DOI10.1215/S0012-7094-87-05415-9zbMath0627.14010OpenAlexW1590953788MaRDI QIDQ581480

Christophe Soule

Publication date: 1987

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-87-05415-9

zbMATH Keywords

elliptic curvesgeneralized conjecture of Birch and Swinnerton-Dyerhigher p-adic regulator mapsp-adic K-groups of a smooth varietyvalues of a p-adic L-function

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Global ground fields in algebraic geometry (14G25) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (9)

On the tamagawa number conjecture for hecke characters ⋮ Higher regulators and Hecke \(L\)-series of imaginary quadratic fields. I ⋮ \(p\)-adic regulators on curves and special values of \(p\)-adic \(L\)-functions ⋮ On non-commutative twisting in étale and motivic cohomology ⋮ Zero-cycles on singular varieties: Torsion and Bloch's formula ⋮ \(p\)-adic \(K\)-theory of Hecke characters of imaginary quadratic fields and an analogue of Beilinson's conjectures ⋮ On the Tamagawa number conjecture for CM elliptic curves defined over \({\mathbb Q}\) ⋮ \(K\)-theory of curves over number fields ⋮ \(p\)-adic \(L\)-functions of an elliptic curve and rational points

Cites Work

• Riemann-Roch for algebraic versus topological K-theory
• Higher regulators and values of \(L\)-functions
• Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur
• On two variable p-adic L-functions
• \(p\)-adic interpolation of real analytic Eisenstein series
• On the conjecture of Birch and Swinnerton-Dyer
• $ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM
• Opérations En K-Théorie Algébrique
• Primary homotopy theory
• On higher p-adic regulators
• Higher algebraic K-theory: I
• Gersten's conjecture and the homology of schemes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: p-adic K-theory of elliptic curves