Fano and CY type

Definition 2.6 (cf. [PS, Lemma-Definition 2.6]). Let X be a projective normal variety over a field, and let Δ be an effective Q-divisor on X such that KX + Δ is Q-Cartier. (i) We say that (X, Δ) is a log Fano pair if −(KX + Δ) is ample and (X, Δ) is klt. We say that X is of Fano type if there exists an effective Q-divisor Δ on X such that (X, Δ) is a log Fano pair. (ii) We say that X is of Calabi–Yau type if there exits an effective Q-divisor Δ such that KX + Δ ∼Q 0 and (X, Δ) is log canonical. (page) (Gongyo et al., 2014, p. 163)