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- Formal_scheme abstract "In mathematics, specifically in algebraic geometry, a formal scheme is a type of space which includes data about its surroundings. Unlike an ordinary scheme, a formal scheme includes infinitesimal data that, in effect, points in a direction off of the scheme. For this reason, formal schemes frequently appear in topics such as deformation theory. But the concept is also used to prove a theorem such as the theorem on formal functions, which is used to deduce theorems of interest for usual schemes.A locally noetherian scheme is a locally noetherian formal scheme in the canonical way: the formal completion along itself. In other words, the category of locally noetherian formal schemes contains all locally noetherian schemes.".
- Formal_scheme wikiPageExternalLink formal-completion.
- Formal_scheme wikiPageID "18829483".
- Formal_scheme wikiPageLength "4471".
- Formal_scheme wikiPageOutDegree "20".
- Formal_scheme wikiPageRevisionID "657051244".
- Formal_scheme wikiPageWikiLink Algebraic_geometry.
- Formal_scheme wikiPageWikiLink Base_(topology).
- Formal_scheme wikiPageWikiLink Bourbaki.
- Formal_scheme wikiPageWikiLink Category:Algebraic_geometry.
- Formal_scheme wikiPageWikiLink Category:Scheme_theory.
- Formal_scheme wikiPageWikiLink Commutative_ring.
- Formal_scheme wikiPageWikiLink Completion_(algebra).
- Formal_scheme wikiPageWikiLink Completion_(ring_theory).
- Formal_scheme wikiPageWikiLink Deformation_theory.
- Formal_scheme wikiPageWikiLink Ideal_(ring_theory).
- Formal_scheme wikiPageWikiLink Linear_topology.
- Formal_scheme wikiPageWikiLink Localization_of_a_ring.
- Formal_scheme wikiPageWikiLink Mathematics.
- Formal_scheme wikiPageWikiLink Nicolas_Bourbaki.
- Formal_scheme wikiPageWikiLink Noetherian_scheme.
- Formal_scheme wikiPageWikiLink Ring_(mathematics).
- Formal_scheme wikiPageWikiLink Ringed_space.
- Formal_scheme wikiPageWikiLink Scheme_(mathematics).
- Formal_scheme wikiPageWikiLink Spectrum_of_a_ring.
- Formal_scheme wikiPageWikiLink Theorem_on_formal_functions.
- Formal_scheme wikiPageWikiLink Topological_ring.
- Formal_scheme wikiPageWikiLink Topological_space.
- Formal_scheme wikiPageWikiLink Unital_ring.
- Formal_scheme wikiPageWikiLinkText "Formal scheme".
- Formal_scheme wikiPageWikiLinkText "formal scheme".
- Formal_scheme wikiPageWikiLinkText "formal".
- Formal_scheme hasPhotoCollection Formal_scheme.
- Formal_scheme wikiPageUsesTemplate Template:EGA.
- Formal_scheme subject Category:Algebraic_geometry.
- Formal_scheme subject Category:Scheme_theory.
- Formal_scheme hypernym Space.
- Formal_scheme comment "In mathematics, specifically in algebraic geometry, a formal scheme is a type of space which includes data about its surroundings. Unlike an ordinary scheme, a formal scheme includes infinitesimal data that, in effect, points in a direction off of the scheme. For this reason, formal schemes frequently appear in topics such as deformation theory.".
- Formal_scheme label "Formal scheme".
- Formal_scheme sameAs m.04grpzd.
- Formal_scheme sameAs Q5469967.
- Formal_scheme sameAs Q5469967.
- Formal_scheme wasDerivedFrom Formal_scheme?oldid=657051244.
- Formal_scheme isPrimaryTopicOf Formal_scheme.