Lectures on Algebraic Geometry II - Harder, Günter
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  • Gebundenes Buch

This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved. Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems. …mehr

Produktbeschreibung
This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved.
Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.
  • Produktdetails
  • Aspects of Mathematics 39
  • Verlag: Vieweg+Teubner
  • Artikelnr. des Verlages: 85032111
  • 2011
  • Seitenzahl: 380
  • Erscheinungstermin: 5. April 2011
  • Englisch
  • Abmessung: 246mm x 173mm x 29mm
  • Gewicht: 806g
  • ISBN-13: 9783834804327
  • ISBN-10: 3834804320
  • Artikelnr.: 23410963
Autorenporträt
Prof. Dr. Günter Harder, Max-Planck-Institute for Mathematics, Bonn
Inhaltsangabe
Aus dem Inhalt:
Basic concepts of the Theory of Schemes - Some Commutative Algebra - Projective Schemes - Curves and the Theorem of Riemann-Roch - The Picard functor for curves and Jacobians