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In mathematics, a pseudo-canonical variety is an algebraic variety of "general type".

Formal definition

Formally, a variety X is pseudo-canonical if the canonical class is pseudo-ample.

Results

For a non-singular projective variety, a result of Kodaira states that this is equivalent to a divisor in the class being the sum of an ample divisor and an effective divisor.

See also

• Bombieri–Lang conjecture

References

• Lang, Serge (1997). Survey of Diophantine Geometry. Springer-Verlag. ISBN 3-540-61223-8.

• Algebraic varieties