Abstract
We reduce Iitaka's subadditivity conjecture for the logarithmic Kodaira dimension to a special case of the generalized abundance conjecture by establishing an Iitaka type inequality for Nakayama's numerical Kodaira dimension. Our proof heavily depends on Nakayama's theory of $\omega$-sheaves and $\widehat{\omega}$-sheaves. As an application, we prove the subadditivity of the logarithmic Kodaira dimension for affine varieties by using the minimal model program for projective klt pairs with big boundary divisor.
Citation
Osamu FUJINO. "On subadditivity of the logarithmic Kodaira dimension." J. Math. Soc. Japan 69 (4) 1565 - 1581, October, 2017. https://doi.org/10.2969/jmsj/06941565
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