In algebraic geometry, a closed immersion of schemes is a morphism of schemes that identifies Z as a closed subset of X such that locally, regular functions on Z can be extended to X. The latter condition can be formalized by saying that is surjective. An example is the inclusion map induced by the canonical map .
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| - Abgeschlossene Immersion (de)
- Closed immersion (en)
- 닫힌 몰입 (ko)
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| - Eine abgeschlossene Immersion ist in der algebraischen Geometrie ein bestimmter Morphismus von geometrischen Objekten. Er ist für jede Klasse von geometrischen Objekten separat definiert. Konzeptionell handelt es sich um abgeschlossene Einbettungen. In der Differentialgeometrie ist der Begriff der Immersion differenzierbarer Mannigfaltigkeiten etwas allgemeiner definiert, der analoge Begriff sind abgeschlossene Einbettungen von differenzierbaren Mannigfaltigkeiten. (de)
- In algebraic geometry, a closed immersion of schemes is a morphism of schemes that identifies Z as a closed subset of X such that locally, regular functions on Z can be extended to X. The latter condition can be formalized by saying that is surjective. An example is the inclusion map induced by the canonical map . (en)
- 스킴 이론에서 닫힌 몰입(-沒入, 영어: closed immersion)은 스킴 사상 가운데, 정의역을 공역의 닫힌집합으로 대응시키며, 정의역의 정칙 함수가 국소적으로 공역에 확장될 수 있게 하는 것이다. 대수학적으로, 이는 국소적으로 아이디얼에 대한 몫환을 취하는 꼴의 스킴 사상에 해당한다. (ko)
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| - Eine abgeschlossene Immersion ist in der algebraischen Geometrie ein bestimmter Morphismus von geometrischen Objekten. Er ist für jede Klasse von geometrischen Objekten separat definiert. Konzeptionell handelt es sich um abgeschlossene Einbettungen. In der Differentialgeometrie ist der Begriff der Immersion differenzierbarer Mannigfaltigkeiten etwas allgemeiner definiert, der analoge Begriff sind abgeschlossene Einbettungen von differenzierbaren Mannigfaltigkeiten. (de)
- In algebraic geometry, a closed immersion of schemes is a morphism of schemes that identifies Z as a closed subset of X such that locally, regular functions on Z can be extended to X. The latter condition can be formalized by saying that is surjective. An example is the inclusion map induced by the canonical map . (en)
- 스킴 이론에서 닫힌 몰입(-沒入, 영어: closed immersion)은 스킴 사상 가운데, 정의역을 공역의 닫힌집합으로 대응시키며, 정의역의 정칙 함수가 국소적으로 공역에 확장될 수 있게 하는 것이다. 대수학적으로, 이는 국소적으로 아이디얼에 대한 몫환을 취하는 꼴의 스킴 사상에 해당한다. (ko)
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