Formal scheme
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. Formal schemes were motivated by and generalize Zariski's theory of formal holomorphic functions.
Adic morphismAlgebraic geometryCompletion of a ringCrystalline cohomologyDeformation (mathematics)Fondements de la Géometrie AlgébriqueFormal algebraic geometryFormal completionFormal geometryFormal group lawFormal holomorphic functionFormal moduliFormal spectrum of a ringFunctor represented by a schemeGlossary of algebraic geometryHomotopy Lie algebraInd-schemeLength of a moduleLocally noetherian formal schemeModuli spaceNoetherian schemeProper morphismRigid analytic spaceSPFStack (mathematics)Séminaire Nicolas Bourbaki (1950–1959)Theorem on formal functionsTimeline of category theory and related mathematics
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Formal scheme
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. Formal schemes were motivated by and generalize Zariski's theory of formal holomorphic functions.
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In mathematics, specifically i ...... led formal algebraic geometry.
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대수기하학에서, 형식적 스킴(形式的scheme, 영어: ...... , 스킴의 개념의 일반화이다.:190–200, §Ⅱ.9
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In mathematics, specifically i ...... formal holomorphic functions.
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대수기하학에서, 형식적 스킴(形式的scheme, 영어: ...... , 스킴의 개념의 일반화이다.:190–200, §Ⅱ.9
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Formal scheme
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형식적 스킴
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