Lectures on Algebraic Geometry II

Released on by Günter Harder
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  • Lectures on Algebraic Geometry II Book Detail

  • Author : Günter Harder
  • Release Date : 2011-04-21
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 376
  • ISBN 13 : 3834881597
  • File Size : 32,32 MB
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Lectures on Algebraic Geometry II by Günter Harder PDF Summary

Book Description: 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.

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Lectures on Algebraic Geometry II

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Several generations of students of algebraic geometry have learned the subject from David Mumford's fabled "Red Book" containing notes of his lectures at Harvar

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This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most