Proper Subvariety

A subvariety of an algebraic variety that is not the entire variety. The proper subvarieties of a line are its nonempty finite subsets, the proper subvarieties of a plane are its nonempty finite subsets, the unions of finitely many of its lines and, more in general, of finitely many algebraic curves contained in it.

See also

Algebraic Variety, Variety

This entry contributed by Margherita Barile

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Cite this as:

Barile, Margherita. "Proper Subvariety." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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