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Nonlinear Functional Analysis and its Applications

Name: Nonlinear Functional Analysis and its Applications
Brand: Springer-Verlag New York Inc.
SKU: 01385108
Price: 1418.46 RON
Availability: InStock
Author: E. Zeidler
ISBN: 9780387971674

II/B: Nonlinear Monotone Operators

E. Zeidler

Leo F. Boron

Limba

engleză

Carte Copertă tare

Codul Libristo: 01385108

Editura Springer-Verlag New York Inc.

This book continues the treatment of the arithmetic theory of elliptic curves begun in the first vol... Descrierea completă

Codul Libristo: 01385108

656 b

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This book continues the treatment of the arithmetic theory of elliptic curves begun in the first volume. The book begins with the theory of elliptic and modular functions for the full modular group r(1), including a discussion of Hekcke operators and the L-series associated to cusp forms. This is followed by a detailed study of elliptic curves with complex multiplication, their associated Grössencharacters and L-series, and applications to the construction of abelian extensions of quadratic imaginary fields. Next comes a treatment of elliptic curves over function fields and elliptic surfaces, including specialization theorems for heights and sections. This material serves as a prelude to the theory of minimal models and Néron models of elliptic curves, with a discussion of special fibers, conductors, and Ogg's formula. Next comes a brief description of q-models for elliptic curves over C and R, followed by Tate's theory of q-models for elliptic curves with non-integral j-invariant over p-adic fields. The book concludes with the construction of canonical local height functions on elliptic curves, including explicit formulas for both archimedean and non-archimedean fields.