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Pseudo-canonical variety

From Wikipedia, the free encyclopedia

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

Formal definition

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

Results

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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

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References

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