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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:
14E30 Minimal model program (Mori theory, extremal rays)
14E05 Rational and birational maps
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