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projective scheme

a scheme 𝑋→𝑆 over some base scheme 𝑆 that factors as a closed immersion 𝑋β†ͺℙⁿ_𝑆→𝑆
Class type of: scheme Q91443379

Facts

4 properties
Subclass of
scheme
Defining formula
X\hookrightarrow\mathbb P^n_S\twoheadrightarrow S
Different from
Proj construction[2]
Maintained by WikiProject
WikiProject Mathematics[3]
🏷️ Also known as
en projective scheme de projektives Schema fr schΓ©ma projective ru проСктивная схСма
πŸ”– Identifiers Β· 2
Encyclopedia of Mathematics article ID
Projective_scheme
Great Russian Encyclopedia portal ID
proektivnaia-skhema-c0f4d2

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Summary

projective scheme is a type of scheme[1].

References

Programmatic citations β€” every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). projective scheme. Retrieved November 7, 2026, from https://4ort.xyz/entity/projective-scheme
MLA “projective scheme.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 Nov. 2026, https://4ort.xyz/entity/projective-scheme.
BibTeX @misc{4ortxyz_projective-scheme_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{projective scheme}}, year = {2026}, url = {https://4ort.xyz/entity/projective-scheme}, note = {Accessed: 2026-11-07}}
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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property β€” follow the history link to see the precise diff for any edit.

  1. 8d ago Β· Nyuhn Β· 2026-10-31 view diff on Wikidata β†—
    Wikidata description β†’ a scheme 𝑋→𝑆 over some base scheme 𝑆 that factors as a closed immersion 𝑋β†ͺℙⁿ_𝑆→𝑆
    Defining formula β†’ X\hookrightarrow\mathbb P^n_S\twoheadrightarrow S
    Wikipedia languages β†’ ['en']
    Imported from β†’ β€”
    + 7 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:1||1 */ Great Russian Encyclopedia portal ID: proektivnaia-skhema-c0f4d2, Matched to [[:toollabs:mix-n-match/#/entry/159372025|ΠŸΡ€ΠΎΠ΅ΠΊΡ‚ΠΈΠ²Π½Π°Ρ схСма (#159372025)]] in [[:toollabs:mix-"
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