Find link

language:

Find link is a tool written by Edward Betts.

searching for Smooth morphism 8 found (27 total)

Cotangent bundle (1,471 words) [view diff] exact match in snippet view article find links to article

sections of the cotangent bundle are called (differential) one-forms. A smooth morphism ϕ : M → N {\displaystyle \phi \colon M\to N} of manifolds, induces

Schlessinger's theorem (608 words) [view diff] exact match in snippet view article find links to article

surjective. This definition is closely related to the notion of a formally smooth morphism of schemes. If in addition the map between the tangent spaces of F

Gauss–Manin connection (1,100 words) [view diff] exact match in snippet view article find links to article

the connection is to be inferred from the flat sections. Consider a smooth morphism of schemes X → B {\displaystyle X\to B} over characteristic 0. If we

Riemann–Roch-type theorem (663 words) [view diff] exact match in snippet view article find links to article

{\displaystyle X\hookrightarrow P} into a smooth scheme P followed by a smooth morphism P → Y {\displaystyle P\to Y} , then let T f = [ T P / Y | X ] − [ N

Deformation (mathematics) (4,021 words) [view diff] exact match in snippet view article

(A')\end{matrix}}} the name smooth comes from the lifting criterion of a smooth morphism of schemes. Recall that the tangent space of a scheme X {\displaystyle

Enriques–Kodaira classification (4,245 words) [view diff] exact match in snippet view article find links to article

of these examples are non-minimal. Ruled surfaces of genus g have a smooth morphism to a curve of genus g whose fibers are lines P1. They are all algebraic

Legendre transformation (8,917 words) [view diff] exact match in snippet view article find links to article

\mathbb {R} } . The Legendre transformation of L {\textstyle L} is the smooth morphism F L : E → E ∗ {\displaystyle \mathbf {F} L:E\to E^{*}} defined by F

Residual intersection (3,349 words) [view diff] exact match in snippet view article find links to article

of f. Assume f can be written as a closed immersion followed by a smooth morphism (for example, Y is quasi-projective). Then, from f ∗ i ∗ = i ! g ∗