On twisted Kawamata's semi-positivity and finite generation of generalized canonical rings
arXiv:2404.07401
Abstract
We give a twisted version of the Kawamata semi-positivity theorem by the -line bundle with a vanishing Lelong number at every point. Moreover, we apply the result to the finite generation problem for canonical rings of Birkar's generalized pairs.
24pages v2: Section 5 is rewritten, v3: revised under the referee's suggestion