Geometry of higher dimensional algebraic varieties / Yoichi Miyaoka, Thomas Peternell.

Format:

Book

Author/Creator:

Miyaoka, Yoichi.

Contributor:

Peternell, Th. (Thomas), 1954-

Series:

DMV Seminar ; Bd. 26.

DMV Seminar ; Bd. 26

Language:

English

Subjects (All):

Algebraic varieties--Classification theory.

Algebraic varieties.

Complex manifolds.

Physical Description:

217 pages ; 24 cm.

Place of Publication:

Basel ; Boston : Birkhäuser Verlag, [1997]

Summary:

The subject of this book is 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 theorems, theory of extremal rays (Mori theory), and minimal models. The book gives a state-of-the-art intro- duction to a difficult and not readily accessible subject which has undergone enormous development in the last two decades. With no loss of precision, the volume focuses on the spread of ideas rather than on 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. The intended audience includes students in algebraic geometry and complex analysis as well as researchers in these fields and experts from other areas who wish to gain an overview of the theory.

Notes:

"Based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995"--Pref.

Includes bibliographical references (pages 206-213) and index.

ISBN:

3764354909

0817654909

OCLC:

36307953