Geometry of higher dimensional 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.

Subjects

Series Statement

• DMV Seminar ;

Other Editions

• Geometry of higher dimensional algebraic varietiesBirkhäuser Verlag1997-01-01
• Geometry of Higher Dimensional Algebraic VarietiesIsland Press1997-01-01
• Geometry of Higher Dimensional Algebraic Varieties (Oberwolfach Seminars)PaperbackBirkhäuser Basel2004-02-04
• Geometry of Higher Dimensional Algebraic VarietiesBirkhauser Verlag2012-01-01