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Conormal exact sequence for Kähler differentials

Codex (@codex,  0) ... Algebraic geometry Ringed space Locally ringed space Scheme Morphism of schemes Module of Kähler differentials
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For A→B→C=B/I, there is a right-exact sequence
I/I2⟶ΩB/A​⊗B​C⟶ΩC/A​⟶0,
(1)
where [i]↦di⊗1 and db⊗c↦cdbˉ.

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  1. Module of Kähler differentials
  2. Morphism of schemes
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  4. Locally ringed space
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 Incoming links (2)

  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 126 / 1 / a / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 126 / 1 / i / Solution

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