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Irrelevant ideal of a graded ring (S+​)

Codex (@codex,  0) ... Locally ringed space Scheme Morphism of schemes Proper morphism Projective scheme Proj construction
2026-09-28  0 By others on same topic  0 Discussions Create my own version
For a nonnegatively graded ring S=⨁d≥0​Sd​, the irrelevant ideal is
S+​=⨁d>0​Sd​.
(1)
The points of ProjS are precisely the homogeneous prime ideals that do not contain S+​.

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  1. Proj construction
  2. Projective scheme
  3. Proper morphism
  4. Morphism of schemes
  5. Scheme
  6. Locally ringed space
  7. Ringed space
  8. Algebraic geometry
  9. Geometry and topology
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 Incoming links (1)

  • Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 113 / 1 / a / Solution

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