Corrigendum: On subadditivity of the logarithmic Kodaira dimension

Abstract

John Lesieutre constructed an example satisfying ${\kappa }_{\sigma }\ne {\kappa }_{\nu }$. This says that the proof of the inequalities in Theorems 1.3, 1.9, and Remark 3.8 in [O. Fujino, On subadditivity of the logarithmic Kodaira dimension, J. Math. Soc. Japan 69 (2017), no. 4, 1565--1581] is insufficient. We claim that some weaker inequalities still hold true and they are sufficient for various applications.

6 pages, v2: minor revisions following the referee's comments, v3: final version, to appear in J. Math. Soc. Japan

References in corpus (1)

• Log Iitaka conjecture for abundant log canonical fibrations

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