Algebraic Geometry and Arithmetic Curves
Normal Price: $195.95
Your Price: $176.36 AUD, inc. GST
Shipping: $7.95 per order
You Save: $19.60! (10% off normal price)
Plus...earn $8.82 in Boomerang Bucks
Availability: Available to Backorder, No Due Date for Supply
Algebraic Geometry and Arithmetic Curves by Qing Liu
Book DescriptionThis 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.
Buy Algebraic Geometry and Arithmetic Curves book by Qing Liu from Australia's Online Bookstore, Boomerang Books.
Book DetailsISBN: 9780198502845
(242mm x 162mm x 36mm)
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 9-May-2002
Country of Publication: United Kingdom
Books By Author Qing Liu
Algebraic Geometry and Arithmetic Curves, Paperback (June 2006)» View all books by Qing Liu
This new-in-paperback edition provides an 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. Clear explanations of both theory and applications, and almost 600 exercises are included in the text.
» Have you read this book? We'd like to know what you think about it - write a review about Algebraic Geometry and Arithmetic Curves book by Qing Liu and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a member - it's free to sign up!)
Bestselling Books: Our Current Bestsellers | Australia's Hottest 1000 Books | Bestselling Fiction | Bestselling Crime Mysteries and Thrillers | Bestselling Non Fiction Books | Bestselling Sport Books | Bestselling Gardening and Handicrafts Books | Bestselling Biographies | Bestselling Food and Drink | Bestselling History | Bestselling Travel Books | Bestselling School Textbooks & Study Guides | Bestselling Children's General Non-Fiction | Bestselling Young Adult Fiction | Bestselling Children's Fiction | Bestselling Picture Books | Top 100 US Bestsellers
Phone: 1300 36 33 32 (9am-5pm Mon-Fri AEST) - International: +61 2 9960 7998 - Online Form
Address: Boomerang Books, 878 Military Road, Mosman Junction, NSW, 2088
© 2003-2016. All Rights Reserved. Eclipse Commerce Pty Ltd - ACN: 122 110 687 - ABN: 49 122 110 687
For every $20 you spend on books, you will receive $1 in Boomerang Bucks loyalty dollars. You can use your Boomerang Bucks as a credit towards a future purchase from Boomerang Books. Note that you must be a Member (free to sign up) and that conditions do apply.