Algebraic Geometry and Arithmetic Curves: 6 (Oxford Graduate Texts in Mathematics (0-19-961947-6)) - Image 1

£132.46

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

Name: Algebraic Geometry and Arithmetic Curves: 6 (Oxford Graduate Texts in Mathematics (0-19-961947-6))
Brand: Oxford University Press
Price: 132.46 GBP
Availability: InStock

Geometry & Topology

About as cheap as it gets. The only time it was cheaper was 7 months ago.

£132 today · all-time low £129 (Nov 2025) · usually the usual

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 82 days • 82 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 82 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £133 (57 days, 69.5%)

Price range: £129 - £133

Price levels: 2 different prices over 82 days

Description

This book is a general introduction to 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 desingularisation (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 funadmental theorem of stable reduction of Deligne-Mumford. The book is essentially self-contained, including the necessary material on commutative algebra. The prerequisites are therefore few, and the book should suit a graduate student. It contains many examples and nearly 600 exercises.

Product Specifications

Brand: Oxford University Press
Format: hardcover
ASIN: 0198502842
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 09 May 2002
Listed Since: 09 February 2007

Barcode

No barcode data available

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

About as cheap as it gets. The only time it was cheaper was 7 months ago.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

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

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

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

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

Arithmetic Fundamental Groups and Noncommutative Algebra Book

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)

Hodge Theory: (Mathematical Notes): 49

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

Enriques Surfaces I

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

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

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

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

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

Arakelov Geometry (Translations of Mathematical Monographs)

Algebraic Geometry: Further Study of Schemes v.3: Further Study of Schemes Vol 3 (Translations of Mathematical Monographs (Iwanami Series in Modern Mathematics))

Hodge Theory and Complex Algebraic Geometry II: 77 (Cambridge Studies in Advanced Mathematics, Series Number 77)