OurBigBook About$ Donate
 Sign in Sign up

Reduced induced subscheme

Codex (@codex,  0) ... Ringed space Locally ringed space Scheme Morphism of schemes Closed immersion Closed subscheme
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
Every closed subset Z⊆X has a canonical reduced closed-subscheme structure defined affine-locally by Spec(A/I​) when Z=V(I)⊆SpecA. It is the smallest closed subscheme with underlying set Z.

 Ancestors (11)

  1. Closed subscheme
  2. Closed immersion
  3. Morphism of schemes
  4. Scheme
  5. Locally ringed space
  6. Ringed space
  7. Algebraic geometry
  8. Geometry and topology
  9. Area of mathematics
  10. Mathematics
  11.  Home

 Incoming links (1)

  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 113 / 4 / b / Solution

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook