Regulators in Analysis, Geometry and Number Theory

ISBN-13: 9780817641153 / Angielski / Twarda / 1999 / 327 str.

Alexander Reznikov; Norbert Schappacher; A. Reznikov

Opis

This volume higlights progress in the theory regulators and secondary invariants, bringing together concepts, methods, results from analysis, differential geometry, algebraic geometry and number theory. A historical and mathematical overview of the theory of regulators is presented followed by articles written and refereed by experts in their respective fields.

Spis treści

Cohomology of Congruence Subgroups of SU(2, 1)P and Hodge Cycles on Some Special Complex Hyperbolic Surfaces.- Remarks on Elliptic Motives.- On Dynamical Systems and Their Possible Significance for Arithmetic Geometry.- Algebraic Differential Characters.- Some Computations in Weight 4 Motivic Complexes.- Geometry of the Trilogarithm and the Motivic Lie Algebra of a Field.- Complex Analytic Torsion Forms for Torus Fibrations and Moduli Spaces.- Théorèmes de Lefschetz et de Hodge arithmétiques pour les variétés admettant une décomposition cellulaire.- Polylogarithmic Currents on Abelian Varieties.- Secondary Analytic Indices.- Variations of Hodge—de Rham Structure and Elliptic Modular Units.