£110.83

Arakelov Geometry (Translations of Mathematical Monographs)

White

Algebra

Price data last checked 61 day(s) ago - refreshing...

View at Amazon

Price History & Forecast

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

Historical

Generating forecast...

Price Distribution

Price distribution over 30 days • 1 price levels

Days at Price

Price Analysis

Most common price: £111 (30 days, 100.0%)

Price range: £111 - £111

Price levels: 1 different prices over 30 days

Description

The main goal of this book is to present the so-called birational Arakelov geometry, which can be viewed as an arithmetic analog of the classical birational geometry, i.e., the study of big linear series on algebraic varieties. After explaining classical results about the geometry of numbers, the author starts with Arakelov geometry for arithmetic curves, and continues with Arakelov geometry of arithmetic surfaces and higher-dimensional varieties. The book includes such fundamental results as arithmetic Hilbert-Samuel formula, arithmetic Nakai-Moishezon criterion, arithmetic Bogomolov inequality, the existence of small sections, the continuity of arithmetic volume function, the Lang-Bogomolov conjecture and so on. In addition, the author presents, with full details, the proof of Faltings' Riemann-Roch theorem. Prerequisites for reading this book are the basic results of algebraic geometry and the language of schemes.

Key Features

Arakelov Geometry (Translations of Mathematical Monographs, 244, Volume 244)

Product type: ABIS_BOOK

Brand: American Mathematical Society

Product Specifications

Colour: White
Format: hardcover
ASIN: 1470410745
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 06 December 2014
Listed Since: 12 September 2014

Barcode

No barcode data available

Arakelov Geometry (Translations of Mathematical Monographs)

Price History & Forecast

Price Distribution

Price Analysis

Description

Key Features

Product Specifications

Barcode

Similar Products You Might Like

Birational Geometry, Rational Curves, and Arithmetic

Positivity in Arakelov Geometry over Adelic Curves: Hilbert-Samuel Formula and Equidistribution Theorem: 355 (Progress in Mathematics, 355)

Introduction to Arakelov Theory

Arithmetic Algebraic Geometry: 89 (Progress in Mathematics, 89)

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

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

Unramified Brauer Group and Its Applications - Mathematics Book

Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves: 334 (Progress in Mathematics, 334)

Affine Algebraic Geometry: Geometry Of Polynomial Rings: 11 (Series on University Mathematics)

Structural Properties of Polylogarithms - AMS Mathematics Book

Lectures on Analytic Differential Equations (Graduate Studies in Mathematics)

Open Algebraic Surfaces (CRM Monograph Series)

Geometries (Student Mathematical Library)

Differential Galois Theory Through Riemann-Hilbert Correspondence: An Elementary Introduction (Graduate Studies in Mathematics)

Birational Geometry, Rational Curves, and Arithmetic (Simons Symposia)

Princeton University Press - The Gross-Zagier Formula on Shimura Curves

Basic Algebraic Geometry (Springer Study Edition)

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

Effective Methods in Algebraic Geometry: 94 (Progress in Mathematics)

Number Theory and Geometry: An Introduction to Arithmetic Geometry (Pure and Applied Undergraduate Texts)

Introduction to Algebraic Geometry (Graduate Studies in Mathematics)

Arithmetic and Geometry: Ten Years in Alpbach - Princeton Press

Plane Algebraic Curves (Student Mathematical Library)

The Gross-Zagier Formula on Shimura Curves (Annals of Mathematics Studies): (AMS-184)