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Boundedness of pluricanonical maps of varieties of general type. (English) Zbl 1121.14011
In this paper the authors prove the following result: for any positive integer $$n$$ there exists an integer $$r_n$$ such that if $$X$$ is a smooth projective variety of general type and dimension $$n$$, then the $$r$$-canonical map of $$X$$ is birational onto its image for all $$r\geq r_n$$.

##### MSC:
 1.4e+31 Minimal model program (Mori theory, extremal rays) 1.4e+06 Rational and birational maps
##### Keywords:
pluricanonical map; variety of general type; birational map
Full Text:
##### References:
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