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代数几何

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代数几何看板

代数几何看板

Jun 05, 20251 min read

finder

  • Mumford - 1999 - The red book of varieties and schemes includes t.pdf
  • Hartshorne - 1977 - Algebraic Geometry.pdf
  • 代数几何
  • sum

notes

  • 0 Notations
  • 1.1 Some Algebra
  • 1.2 Irreducible Algebraic Sets
  • 1.3 Morphisms
  • 1.4 Sheaves & Affine Varieties
  • 1.5 Definition of Prevarieties and Morphisms
  • 1.6 Products and the Hausdorff Axiom
  • 1.7 Dimensions
  • 1.8 The Fibres of a Morphism
  • 1.9 Complete Variety
  • 1.10 Complex Variety
  • 2.1 Spec(R)
  • 2.3 Varieties & Preschemes

Cards

  • transcendence degree
  • Localization of a Ring
  • integral dependence
  • dimension of affine variety

hw

  • HW1
  • HW2
  • HW3
  • HW4
  • HW5

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