Algebraic Geometry I: Schemes

With Examples and Exercises

AvUlrich Görtz,Torsten Wedhorn

Häftad, Engelska, 2020

Del i serien Springer Studium Mathematik - Master

572 kr

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Beskrivning

Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results.

Produktinformation

Utgivningsdatum:2020-07-28
Mått:168 x 240 x 37 mm
Vikt:1 058 g
Format:Häftad
Språk:Engelska
Serie:Springer Studium Mathematik - Master
Antal sidor:626
Upplaga:2
Förlag:Springer Fachmedien Wiesbaden
ISBN:9783658307325
Originaltitel:Algebraic Geometry

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

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

Innehållsförteckning

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.