Pseudo-canonical variety

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.