Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics): 6 - Image 1

£64.59

Oxford University Press Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics): 6

Name: Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics): 6
Brand: Oxford University Press
Price: 64.59 GBP
Availability: InStock

black & white illustrations

Geometry & Topology

It has never been this cheap. We have no record of a lower price.

£65 today · cheaper than every other day in the last 3 months

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 7 days • 7 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 7 days • 1 price levels

Days at Price

Price Analysis

Most common price: £65 (7 days, 100.0%)

Price range: £65 - £65

Price levels: 1 different prices over 7 days

Description

This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem) This is followed by the more global aspect: coherent sheaves and a finiteness theorem for their cohomology groups. Then follows a chapter on sheaves of differentials, dualizing sheaves, and Grothendieck's duality theory. The first part ends with the theorem of Riemann-Roch and its application to the study of smooth projective curves over a field. Singular curves are treated through a detailed study of the Picard group. The second part starts with blowing-ups and desingularization (embedded or not) of fibered surfaces over a Dedekind ring that leads on to intersection theory on arithmetic surfaces. Castelnuovo's criterion is proved and also the existence of the minimal regular model. This leads to the study of reduction of algebraic curves. The case of elliptic curves is studied in detail. The book concludes with the fundamental theorem of stable reduction of Deligne-Mumford. This book is essentially self-contained, including the necessary material on commutative algebra. The prerequisites are few, and including many examples and approximately 600 exercises, the book is ideal for graduate students.

Product Specifications

Brand: Oxford University Press
Model: black & white illustrations
Format: paperback
ASIN: 0199202494
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 24 August 2006
Listed Since: 21 December 2006

Barcode

No barcode data available

Oxford University Press Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics): 6

It has never been this cheap. We have no record of a lower price.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Algebraic Geometry and Arithmetic Curves: 6 (Oxford Graduate Texts in Mathematics (0-19-961947-6))

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

The Practice of Algebraic Curves: A Second Course in Algebraic Geometry: 250 (Graduate Studies in Mathematics)

The Practice of Algebraic Curves: A Second Course in Algebraic Geometry: 250 (Graduate Studies in Mathematics)

Algebraic Geometry II: Cohomology of Schemes: With Examples and Exercises (Springer Studium Mathematik - Master)

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

Algebraic Geometry: An Introduction (Universitext)

Algebraic Geometry III: Complex Algebraic Varieties Algebraic Curves and Their Jacobians: 36 (Encyclopaedia of Mathematical Sciences, 36)

Nevanlinna Theory in Several Complex Variables and Diophantine Approximation: 350 (Grundlehren der mathematischen Wissenschaften, 350)

The Brauer–Grothendieck Group: 71 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 71)

Hodge Theory: (Mathematical Notes): 49

An Invitation to Quantum Cohomology: Kontsevich's Formula for Rational Plane Curves: 249 (Progress in Mathematics, 249)

A Celebration of Algebraic Geometry: In Honor of Joe Harris' 60th Birthday, August 25-28, 2011, Harvard University, Cambridge, Massachusetts (Clay Mathematics Proceedings)

Geometry of Algebraic Curves: Volume II with a contribution by Joseph Daniel Harris: 268 (Grundlehren der mathematischen Wissenschaften, 268)

Geometry of Algebraic Curves: Volume II with a contribution by Joseph Daniel Harris: 268 (Grundlehren der mathematischen Wissenschaften, 268)

Surveys on Recent Developments in Algebraic Geometry (Proceedings of Symposia in Pure Mathematics)

Enriques Surfaces I

Topological Modular Forms (Mathematical Surveys and Monographs)

Algebraic Curves and Riemann Surfaces (Graduate Studies in Mathematics)

Arakelov Geometry (Translations of Mathematical Monographs)

Algebraic Geometry I: Algebraic Curves, Algebraic Manifolds and Schemes (Encyclopaedia of Mathematical Sciences, 23)

Higher Genus Curves in Mathematical Physics and Arithmetic Geometry: Ams Special Session Higher Genus Curves and Fibrations in Mathematical Physics ... Washington (Contemporary Mathematics)

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

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