View source for Pseudo-canonical variety

In mathematics, a '''pseudo-canonical variety''' is an [[Algebraic variety|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|projective variety]], a result of [[Biography:Kunihiko Kodaira|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 |  title=Survey of Diophantine Geometry | publisher=[[Physics:Springer-Verlag|Springer-Verlag]] | year=1997 | isbn=3-540-61223-8 }}

[[Category:Algebraic varieties]]

{{Sourceattribution|Pseudo-canonical variety}}