Book on Algebraic Geometry

Ulrich Görtz and I are writing a book on Algebraic Geometry. This book is going to be published in the Vieweg+Teubner Verlag. We have an agreement with the publisher that allows us to send provisional versions of the book to selected persons. Therefore send us an e-mail to get first versions of some of the chapters.

The provisional table of contents can be downloaded here.

Any comments and remarks are welcome!

VOLUME I: Schemes

Chapter 1: Prevarieties

Chapter 2: Spectrum of a Ring

Chapter 3: Schemes

Chapter 4: Fiber products

Chapter 5: Schemes over a field

Chapter 6: Local properties of schemes

Chapter 7: Quasi-coherent modules

Chapter 8: Representable Functors

Chapter 9: Separated morphisms

Chapter 10: Finiteness Conditions

Chapter 11: Vector bundles

Chapter 12: Affine and proper morphisms

Chapter 13: Projective morphisms

Chapter 14: Flat morphisms, and dimension

Chapter 15: One-dimensional schemes