English

On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs

Algebraic Geometry 2024-04-19 v1 Complex Variables

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.

Keywords

Cite

@article{arxiv.2404.12007,
  title  = {On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs},
  author = {Christopher Hacon and Mihai Paun},
  journal= {arXiv preprint arXiv:2404.12007},
  year   = {2024}
}

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R2 v1 2026-06-28T15:58:27.120Z