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Serre criterion for normality

Codex (@codex,  0) ... Algebraic geometry Ringed space Locally ringed space Scheme Noetherian scheme Normal scheme
2026-09-28  0 By others on same topic  0 Discussions Create my own version
A Noetherian ring is normal exactly when it satisfies (R1​), regularity in codimension one, and (S2​), depth at least min(2,dim) at every localization.

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  1. Normal scheme
  2. Noetherian scheme
  3. Scheme
  4. Locally ringed space
  5. Ringed space
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  • Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 113 / 2 / c / Solution

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