Higher regulators and values of L-functions of curves

DOI10.1007/BF01086554zbMath0475.14015MaRDI QIDQ1159730

Alexander A. Beilinson

Publication date: 1980

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

regulator mapBorel regulatorvalues of L-functionssmooth algebraic curves

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (31)

Characteristic classes of holomorphic or algebraic foliated fiber bundles. ⋮ The Mahler measure of a genus 3 family ⋮ A generalization of the Contou-Carrère symbol ⋮ Algebraic $K$-theory and etale cohomology ⋮ Higher regulators and Hecke \(L\)-series of imaginary quadratic fields. I ⋮ A higher-dimensional Contou-Carrère symbol: local theory ⋮ \(p\)-adic regulators on curves and special values of \(p\)-adic \(L\)-functions ⋮ Equations for Mahler measure and isogenies ⋮ The Mahler measure of a Weierstrass form ⋮ Certain values of Hecke \(L\)-functions and generalized hypergeometric functions ⋮ Regulator proofs for Boyd’s identities on genus 2 curves ⋮ A commutative regulator map into Deligne-Beilinson cohomology ⋮ The Beilinson conjectures for CM elliptic curves via hypergeometric functions ⋮ Syntomic regulators and \(p\)-adic integration. II: \(K_2\) of curves ⋮ Unnamed Item ⋮ Mahler measures of a family of non-tempered polynomials and Boyd's conjectures ⋮ Unnamed Item ⋮ Mahler measure of a non-tempered Weierstrass form ⋮ Unnamed Item ⋮ Pullback of Klingen Eisenstein series and certain critical L-values identities ⋮ The existence of higher logarithms ⋮ Théorie générale des classes caractéristiques secondaires. (General theory of secondary characteristic classes) ⋮ On the K-theory of surfaces with multiple curves and a conjecture of Bloch ⋮ The Mahler measure for arbitrary tori ⋮ On the regulator of Fermat motives and generalized hypergeometric functions ⋮ Joint torsion of Toeplitz operators with \(H^{\infty}\) symbols ⋮ \(K_2\) of families of curves with non-torsion differences in divisorial support ⋮ A remark on \(K_ 1 \)of an algebraic surface ⋮ Rank of \(K_2\) of elliptic curves ⋮ Iterated Laurent series over rings and the Contou-Carrère symbol ⋮ A-Polynomial, B-Model, and Quantization

Cites Work

• Introduction to Algebraic K-Theory. (AM-72)

This page was built for publication: Higher regulators and values of L-functions of curves