A systematic approach combined with explicit motivation of theory Containing lots of concrete examples Your companion into the field of modern algebraic geometry

Vorwort
New Textbook on Algebraic Geometry

Autorentext

Prof. Dr. Ulrich Görtz, Department of Mathematics, University of Duisburg-Essen Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technical University of Darmstadt

Inhalt
Introduction.- 1 Prevarieties.- 2 Spectrum of a Ring.- 3 Schemes.- 4 Fiber products.- 5 Schemes over fields.- 6 Local Properties of Schemes.- 7 Quasi-coherent modules.- 8 Representable Functors.- 9 Separated morphisms.- 10 Finiteness Conditions.- 11 Vector bundles.- 12 Affine and proper morphisms.- 13 Projective morphisms.- 14 Flat morphisms and dimension.- 15 One-dimensional schemes.- 16 Examples.