The generic finiteness of the \(m\)-canonical map for 3-folds of general type. (English) Zbl 1092.14049

Zhu, Lei

Osaka J. Math. 42, No. 4, 873-884 (2005).

Let \(X\) be a projective minimal 3-fold of general type with only \(\mathbb{Q}\)-factorial terminal singularities. The author shows that if \(P_g(X)\geq 5\), then the \(3\)-canonical map is generically finite and if \(P_g(X)\geq 2\) and \(q(X)\geq 3\) then the \(m\)-canonical map is generically finite for \(m\geq 3\).

Reviewer: Christopher Hacon (Salt Lake City)

MSC:

14J30	\(3\)-folds
14E05	Rational and birational maps

Keywords:

3-folds; pluricanonical maps