Structure Morphism

The structure morphism of a scheme over a base scheme is the specified morphism that makes an -scheme. For a variety over a field , the base is .

For example, a scheme over its base is proper or smooth when its structure morphism is a proper morphism or smooth morphism, respectively.

See also

Morphism, Proper Morphism, Scheme, Smooth Morphism

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References

Hartshorne, R. Algebraic Geometry. New York: Springer-Verlag, 1977.

Cite this as:

Weisstein, Eric W. "Structure Morphism." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/StructureMorphism.html

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