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- In der algebraischen Geometrie ist ein formales Schema eine Verallgemeinerung eines Schemas. Grob gesagt beschreibt ein formales Schema eine infinitesimale Umgebung eines Schemas. Formale Schemata finden Anwendung in der und . Es gibt verschiedene Definitionen in der Literatur, häufig werden aus technischen Gründen lediglich lokal noethersche formale Schemata definiert. (de)
- 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 schemes were motivated by and generalize Zariski's theory of formal holomorphic functions. Algebraic geometry based on formal schemes is called formal algebraic geometry. (en)
- 대수기하학에서 형식적 스킴(形式的scheme, 영어: formal scheme)은 스스로의 ‘무한소 근방’의 데이터를 기억하는, 스킴의 개념의 일반화이다.:190–200, §Ⅱ.9 (ko)
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- 6112 (xsd:nonNegativeInteger)
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- In der algebraischen Geometrie ist ein formales Schema eine Verallgemeinerung eines Schemas. Grob gesagt beschreibt ein formales Schema eine infinitesimale Umgebung eines Schemas. Formale Schemata finden Anwendung in der und . Es gibt verschiedene Definitionen in der Literatur, häufig werden aus technischen Gründen lediglich lokal noethersche formale Schemata definiert. (de)
- 대수기하학에서 형식적 스킴(形式的scheme, 영어: formal scheme)은 스스로의 ‘무한소 근방’의 데이터를 기억하는, 스킴의 개념의 일반화이다.:190–200, §Ⅱ.9 (ko)
- 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. (en)
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- Formales Schema (de)
- Formal scheme (en)
- 형식적 스킴 (ko)
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