Geometry of Higher Dimensional Algebraic Varieties

Geometry of Higher Dimensional Algebraic Varieties by Thomas Peternell, Joichi Miyaoka.

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 deve...

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Bibliographic Details
Main Authors: Peternell, Thomas (Author), Miyaoka, Joichi (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 1997.
Edition:1st ed. 1997.
Series:Oberwolfach Seminars, 26
Springer eBook Collection.
Subjects:
Algebraic geometry.
Geometry.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • I Geometry of Rational Curves on Varieties
  • Introduction: Why Rational Curves
  • Lecture I: Deformations and Rational Curves
  • Lecture II: Construction of Non-Trivial Deformations via Frobenius
  • Lecture III: Foliations and Purely Inseparable Coverings
  • Lecture IV: Abundance for Minimal 3-Folds
  • Lecture V: Rationally Connected Fibrations and Applications
  • References
  • II An Introduction to the Classification of Higherdimensional Complex Varieties
  • Preface
  • Prerequisites
  • References.

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