Algebraic Surfaces
Format: Paperback
ISBN13: 9781441931498
Paperback|9781441931498
✨ Featured Offer
Brand New
$68.59
List Price: $64.99
🚚
See all 3 offers from $68.59 FREE standard delivery by: 01 Apr 2026
Overview
The aim of this book is to present certain fundamental facts in the theory of algebraic surfaces, defined over an algebraically closed field lk of arbitrary characteristic. The book is based on a series of talks given by the author in the Algebraic Geometry seminar at the Faculty of Mathematics, University of Bucharest. The main goal is the classification of nonsingular projective surfaces (also called simply surfaces). In the context of complex algebraic varieties, the classification was obtained by Enriques and Castelnuovo. Around 1960, Kodaira [Kodl, Kod2] revived and simplified the classification of complex algebraic surfaces and extended it to the case of compact analytic surfaces. The problem of classifying surfaces in arbitrary characteristic remained open. The first step in this direction was the purely algebraic proof (valid in arbitrary characteristic), due to Zariski [Zarl, Zar2], of Castelnuovo's criterion of rationality. Then Mumford [Mum3, Mum4] introduced several new ideas, and the classification of surfaces in positive characteristic be came possible. Finally, Bombieri and Mumford [BMl, BM2] completed the classification of surfaces in arbitrary characteristic. Their result was the following: The same types of surfaces that exist in the case when lk is the complex field arise in the general case, if one sets aside certain pathologies that arise only in characteristic 2 or 3.
| ISBN-13 | 9781441931498 |
|---|---|
| ISBN-10 | 144193149X |
| Weight | 0.85 Pounds |
| Dimensions | 6.00 x 0.62 x 9.00 In |
| List Price | $64.99 |
| Edition | 1st Edition |
| Format | Paperback |
|---|---|
| Language | English |
| Pages | xi, 259 pages |
| Publisher | Springer |
| Published On | 2010-11-19 |
View All Offers
Sort by:
Price
Condition
Seller
Seller Comments
Price
✨ Brand New
Seller details
Alibris
Sparks, NV, USA
Universitext . XI, 259 p. Intended for professional and scholarly audience.
Free delivery by: 01 Apr 2026
Brand New
Seller details
GreatBookPrices-
Columbia, MD, USA
100% Money Back Guarantee. Brand New, Perfect Condition. We offer expedited shipping to all US locat...
Free delivery by: 01 Apr 2026
Used, Good
Seller details
Bonita
Santa Clarita, CA, USA
Access codes and supplements are not guaranteed with used items. May be an ex-library book.
Free delivery by: 01 Apr 2026