1. Formal definition

2. Results

3. See also

4. References

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

• {{cite book | first=Serge | last=Lang | authorlink=Serge Lang | title=Survey of Diophantine Geometry | publisher=Springer-Verlag | year=1997 | isbn=3-540-61223-8 }}

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