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  1. Courses
  2. Undergraduate
  3. Part C
  4. Hilary
  5. C2.6 Introduction to Schemes (2024-25)
  6. Course Materials
  7. Miniproject

Miniproject

Completion requirements

Corrections and clarifications:

  • Correction to third sentence of the miniproject defining an isomorphism of surjections. The original text defines a morphism of resolutions, but then the rest of the definition somehow got cut out. The version here skips the definition of a morphism of resolutions and just defines a morphism between surjective maps of locally free sheaves and then the corresponding notion of an isomorphism of such maps. 
  • we write, by standard abuse of notation, for a functor from schemes to sets, \(F(R)\) in place of \(F(\text{Spec}(R))\).
  • the displayed equation in 2) should end with a ")" not a "}".
  • the projective space in 3) should be \(\mathbb P^{\binom{n}{k}-1}_{\mathbb Z}.\)
  • part 4) restated to clarify what is required.
    • Introduction_to_Schemes miniproject.pdf Introduction_to_Schemes miniproject.pdf
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