Overview

This is a book about the classification theory and geometry of higher dimensional varieties: existence and geometry of rational curves via characteristic p-methods, manifolds with negative Kodaira dimension, vanishing theorums, theory of extremal rays (Mori theory), and minimal models. It gives an introduction to this difficult and not readily accessible subject, and focuses on the spread of ideas rather than a deliberate inclusion of all proofs. The methods presented vary from complex analysis to complex algebraic geometry and algebraic geometry over fields of positive characteristics. It should be suitable for students in algebraic geometry and complex analysis as well as researchers in these fields and experts from other fields who require an overview of the theory.

Full Product Details

Author:   Thomas Peternell ,  Joichi Miyaoka
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1997 ed.
Volume:   26
Dimensions:   Width: 17.80cm , Height: 1.20cm , Length: 25.40cm
Weight:   0.820kg
ISBN:  

9783764354909

ISBN 10:   3764354909
Pages:   218
Publication Date:   20 March 1997
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Reviews

Contains nice historical notes and exercises... Many examples are given to illustrate the theory... Beautifully written [with] up-to-date references to the subjects... Highly recommended. <p>--ZAA

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