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On the Canonical Bundle Formula and Adjunction for Generalized Kaehler Pairs

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arxiv 2404.12007 v1 pith:7F4H2MGW submitted 2024-04-18 math.AG math.CV

Christopher Hacon , Mihai Paun This is my paper · ORCID
classification math.AGmath.CV
keywords generalizedkaehleradjunctionbundlecanonicalformulakawamatapairs
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the K\"ahler MMP and the transcendental base-point-free theorem

    math.AG 2026-07 accept novelty 7.0 of 10

    Big gklt Kähler pairs admit a full MMP with scaling, and a nef canonical class with modified-big boundary is semiample (Tosatti’s conjecture).

  2. The Miyaoka-Yau inequality for singular varieties with big canonical or anticanonical divisors

    math.AG 2025-07 conditional novelty 7.0 of 10

    For projective klt varieties with big canonical or anticanonical divisor, the Miyaoka-Yau Chern class inequality holds when intersections are taken with the non-pluripolar product.

  3. Remarks on Relative Canonical Bundles and Algebraicity Criteria for Foliations in K\"ahler context

    math.CV 2025-02 conditional novelty 6.0 of 10

    New pseudo-effectivity theorems for relative canonical bundles and new algebraicity and uniruledness criteria for foliations on compact Kähler manifolds are established.

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