Geometry of higher dimensional algebraic varieties
By: Yoichi Miyaoka, Thomas Peternell.
Contributors: Peternell, Th. 1954-
Series: DMV Seminar ;; Bd. 26
Publisher: Birkhäuser Verlag; Birkhäuser Basel
Published: 1997
Place of publication: Basel; Boston
Language: eng
Number of pages: 217
Subjects: Algebraic varieties -- Classification theory; Complex manifolds; Algebraic varieties
Description: 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: Includes bibliographical references (p. 206-213) and index.
"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.