£88.97

Complex Multiplication and Lifting Problems (Mathematical Surveys and Monographs)

Algebra

Price data last checked 11 day(s) ago - will refresh soon

View at Amazon

Price History & Forecast

Last 80 days • 80 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 80 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £99 (79 days, 98.8%)

Price range: £89 - £99

Price levels: 2 different prices over 80 days

Description

Abelian varieties with complex multiplication lie at the origins of class field theory, and they play a central role in the contemporary theory of Shimura varieties. They are special in characteristic 0 and ubiquitous over finite fields. This book explores the relationship between such abelian varieties over finite fields and over arithmetically interesting fields of characteristic 0 via the study of several natural CM lifting problems which had previously been solved only in special cases. In addition to giving complete solutions to such questions, the authors provide numerous examples to illustrate the general theory and present a detailed treatment of many fundamental results and concepts in the arithmetic of abelian varieties, such as the Main Theorem of Complex Multiplication and its generalisations, the finer aspects of Tate's work on abelian varieties over finite fields, and deformation theory. This book provides an ideal illustration of how modern techniques in arithmetic geometry (such as descent theory, crystalline methods, and group schemes) can be fruitfully combined with class field theory to answer concrete questions about abelian varieties. It will be a useful reference for researchers and advanced graduate students at the interface of number theory and algebraic geometry.

Product Specifications

Format: hardcover
ASIN: 1470410141
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 28 February 2014
Listed Since: 02 November 2013

Barcode

No barcode data available

Complex Multiplication and Lifting Problems (Mathematical Surveys and Monographs)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Complex Tori and Abelian Varieties (SMF/AMS Texts & Monographs)

Complex Multiplication: 255 (Grundlehren der mathematischen Wissenschaften, 255)

Complex Multiplication: 255 (Grundlehren der mathematischen Wissenschaften, 255)

Absolute CM-Periods (Mathematical Surveys & Monographs)

Lectures on Hilbert Modular Varieties and Modular Forms (CRM Monograph) (CRM Monograph Series)

Arithmetic Fundamental Groups and Noncommutative Algebra Book

Abelian Varieties over the Complex Numbers: A Graduate Course (Grundlehren Text Editions)

Number Theory: Algebraic Numbers and Functions (Graduate Studies in Mathematics)

Arithmetic Compactifications of PEL-Type Shimura Varieties (London Mathematical Society Monographs)

Commutative Algebra (Graduate Studies in Mathematics)

Abelian Varieties with Complex Multiplication and Modular Functions: (PMS-46) (Princeton Mathematical Series, 46)

Dimensions of Affine Deligne-Lusztig Varieties: A New Approach Via Labeled Folded Alcove Walks and Root Operators (Memoirs of the American Mathematical Society)

Arithmetic Geometry (Clay Mathematics Proceedings)

Arithmetic Groups and Their Generalizations: What, Why, and How (AMS/IP Studies in Advanced Mathematics)

Automorphic Representations Of Low Rank Groups

Perverse Sheaves and Applications to Representation Theory (Mathematical Surveys and Monographs)

Quadratic Forms, Linear Algebraic Groups, and Cohomology: 18 (Developments in Mathematics, 18)

Hilbert Schemes of Points and Infinite Dimensional Lie Algebras (Mathematical Surveys and Monographs)

Problems on Mapping Class Groups and Related Topics (Proceedings of Symposia in Pure Mathematics)

Degeneration of Abelian Varieties: 22 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 22)

Invariant Theory of Finite Groups (Mathematical Surveys and Monographs)

Structural Properties of Polylogarithms - AMS Mathematics Book

On the Class Number of Abelian Number Fields: Extended with Tables by Ken-ichi Yoshino and Mikihito Hirabayashi

Alegebraic Curves and Cryptography (Fields Institute Communications) (Fields Institute Monographs)