Table of Contents

Prevarieties - Spectrum of a Ring - Schemes - Fiber products - Schemes over fields - Local Properties of Schemes - Quasi-coherent modules - Representable Functors - Separated morphisms - Finiteness Conditions - Vector bundles - Affine and proper morphisms - Projective morphisms - Flat morphisms and dimension - One-dimensional schemes - Examples

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About the Author

Prof. Dr. Ulrich Gortz, Institut fur Experimentelle Mathematik, Universitat Duisburg-Essen.Essen. Prof. Dr. Torsten Wedhorn, Institut fur Mathematik, Universitat Paderborn. Prof. Dr. Ulrich Gortz, Institute of Experimental Mathematics, University Duisburg-Essen. Prof. Dr. Torsten Wedhorn, Department of Mathematics, University of Paderborn.