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arXiv · 2404.12007

On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs

Christopher Hacon·Mihai Paun
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Abstract

In this article we prove analogs of Kawamata's canonical bundle formula, Kawamata subadjunction and plt/lc inversion of adjunction for generalized pairs on Kaehler varieties. We also show that a conjecture of BDPPin dimension n-1 implies that the cone theorem holds for any n-dimensional Kaehler generalized klt pair. Along the way, we obtain more complete versions of some results due to Collins-Tosatti and Cao-Hoering.

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Christopher Hacon, Mihai Paun. 2024-04-18. On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs. https://arxiv.org/abs/2404.12007

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