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searching for Flat morphism 4 found (29 total)

Semistable reduction theorem (547 words) [view diff] exact match in snippet view article find links to article

geometry, semistable reduction theorems state that, given a proper flat morphism X→S{\displaystyle X\to S}, there exists a morphism S′→S{\displaystyle

Stable curve (1,081 words) [view diff] exact match in snippet view article find links to article

stable genus g curve over S {\displaystyle S} is defined as a proper flat morphism π : C → S {\displaystyle \pi :C\to S} such that the geometric fibers

Normal cone (3,347 words) [view diff] exact match in snippet view article find links to article

X'} is a closed immersion and if Y ′ → Y {\displaystyle Y'\to Y} is a flat morphism such that X ′ = X × Y Y ′ {\displaystyle X'=X\times _{Y}Y'} , then[citation

Derived noncommutative algebraic geometry (4,702 words) [view diff] exact match in snippet view article find links to article

called Knörrer periodicity. This can be constructed as follows: given a flat morphism f : X → A 1 {\displaystyle f:X\to \mathbb {A} ^{1}} from a separated