Introduction to Arakelov Theory - Image 1

£81.53

Springer Introduction to Arakelov Theory

Name: Introduction to Arakelov Theory
Brand: Springer
Price: 81.38 GBP
Availability: InStock

Algebra

Price History & Forecast

Last 30 days • 30 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 30 days • 3 price levels

Days at Price

Current Price

Price Analysis

Most common price: £81 (18 days, 60.0%)

Price range: £79 - £81

Price levels: 3 different prices over 30 days

Description

Arakelov introduced a component at infinity in arithmetic considerations, thus giving rise to global theorems similar to those of the theory of surfaces, but in an arithmetic context over the ring of integers of a number field. The book gives an introduction to this theory, including the analogues of the Hodge Index Theorem, the Arakelov adjunction formula, and the Faltings Riemann-Roch theorem. The book is intended for second year graduate students and researchers in the field who want a systematic introduction to the subject. The residue theorem, which forms the basis for the adjunction formula, is proved by a direct method due to Kunz and Waldi. The Faltings Riemann-Roch theorem is proved without assumptions of semistability. An effort has been made to include all necessary details, and as complete references as possible, especially to needed facts of analysis for Green's functions and the Faltings metrics.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 1461269911
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Publication Date: 30 September 2012
Listed Since: 06 December 2012

Barcode

No barcode data available

Springer Introduction to Arakelov Theory

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Arakelov Geometry (Translations of Mathematical Monographs)

An Introduction to Algebraic Geometry: A Computational Approach (Universitext)

An Invitation To Algebraic Numbers And Algebraic Functions

Capacity Theory with Local Rationality: The Strong Fekete-Szego Theorem on Curves (Mathematical Surveys and Monographs)

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

A Course in Complex Analysis and Riemann Surfaces (Graduate Studies in Mathematics)

K-Theory: An Introduction (Classics in Mathematics)

Dynamics in One Non-Archimedean Variable

Number Theory in Function Fields: 210 (Graduate Texts in Mathematics, 210)

CRC Press Algebraic Numbers and Algebraic Functions Book

Introduction to Arithmetical Functions (Universitext)

Potential Theory and Dynamics on the Berkovich Projective Line (Mathematical Surveys and Monographs)

Introduction To Abstract Algebra, An: Sets, Groups, Rings, And Fields

Introduction to Complex Analytic Geometry

Algebraic Geometry: Notes on a Course (Graduate Studies in Mathematics)

Multidimensional Residue Theory and Applications (Mathematical Surveys and Monographs)

Homotopy Theory and Arithmetic Geometry – Motivic and Diophantine Aspects: LMS-CMI Research School, London, July 2018: 2292 (Lecture Notes in Mathematics, 2292)

Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition: 16 (Monographs and Research Notes in Mathematics)

Theta Constants, Riemann Surfaces and the Modular Group: An Introduction with Applications to Uniformization Theorems, Partition Identities and ... ... Theory (Graduate Studies in Mathematics)

The Local Structure of Algebraic K-Theory: 18 (Algebra and Applications, 18)

Birational Geometry, Rational Curves, and Arithmetic

Ideals and Reality: Projective Modules and Number of Generators of Ideals (Springer Monographs in Mathematics)

Lectures on Riemann Surfaces: 81 (Graduate Texts in Mathematics, 81)

Lectures on Riemann Surfaces: 81 (Graduate Texts in Mathematics, 81)