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A Royal Road to Algebraic Geometry

A Royal Road to Algebraic Geometry


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About the Book

Part I Curves: 1 Affine and Projective Space.- 2 Curves in A2 k and in P2.- 3 Higher Geometry in the Projective Plane.- 4 Plane Curves and Algebra.- 5 Projective Varieties in PNk.- Part II Introduction to Grothendieck's Theory of Schemes: 6 Categories and Functors.- 7 Constructions and Representable Functors.- 8 Abelian Categories.- 9 The Concept of Spec(A).- 10 The Category of Schemes.- 11 Properties of Morphisms of Schemes.- 12 Modules, Algebras and Bundles on a Scheme.- 13 More Properties of Morphisms, Scheme Theoretic Image and the "Sorite".- 14 Projective Schemes and Bundles.- 15 Further Properties of Morphisms.- 16 Conormal Sheaf and Projective Bundles.- 17 Cohomology Theory on Schemes.- 18 Intersection Theory.- 19 Characteristic Classes in Algebraic Geometry.- 20 The Riemann-Roch Theorem.- 21 Some Basic constructions in the category of projective kvarieties.- 22 More on Duality.- References.- Index


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Product Details
  • ISBN-13: 9783642192241
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Binding: Hardback
  • Edition: 2012 ed.
  • Language: English
  • Returnable: Y
  • Spine Width: 22 mm
  • Width: 156 mm
  • ISBN-10: 3642192246
  • Publisher Date: 06 Oct 2011
  • Depth: 25
  • Height: 234 mm
  • No of Pages: 366
  • Series Title: English
  • Weight: 757 gr


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A Royal Road to Algebraic Geometry
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A Royal Road to Algebraic Geometry
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