Geometry of Higher Dimensional Algebraic Varieties by Thomas Peternell

Geometry of Higher Dimensional Algebraic Varieties by Thomas Peternell

This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the classification theory and geometry of higher dimensional complex-algebraic varieties, focusing on the tremendeous developments of the sub- ject in the last 20 years. The work is in two parts, with each one preceeded by an introduction describing its contents in detail. Here, it will suffice to simply ex- plain how the subject matter has been divided. Cum grano salis one might say that Part 1 (Miyaoka) is more concerned with the algebraic methods and Part 2 (Peternell) with the more analytic aspects though they have unavoidable overlaps because there is no clearcut distinction between the two methods. Specifically, Part 1 treats the deformation theory, existence and geometry of rational curves via characteristic p, while Part 2 is principally concerned with vanishing theorems and their geometric applications. Part I Geometry of Rational Curves on Varieties Yoichi Miyaoka RIMS Kyoto University 606-01 Kyoto Japan Introduction: Why Rational Curves? This note is based on a series of lectures given at the Mathematisches Forschungsin- stitut at Oberwolfach, Germany, as a part of the DMV seminar Mori Theory. The construction of minimal models was discussed by T.

"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."

--ZAA

SKU	Nicht verfügbar
ISBN 13	9783764354909
ISBN 10	3764354909
Titel	Geometry of Higher Dimensional Algebraic Varieties
Autor	Thomas Peternell
Serie	Oberwolfach Seminars
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Birkhauser Verlag AG
Erscheinungsjahr	1997-03-20
Seitenanzahl	218
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.