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On a generalized canonical bundle formula and generalized adjunction

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arxiv 1807.04847 v3 pith:BR5D3UVT submitted 2018-07-12 math.AG

Stefano Filipazzi This is my paper · ORCID
classification math.AG
keywords generalizedadjunctionbundlecanonicalcaseformulaapplicationconjecture
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In this note, we extend the theories of the canonical bundle formula and adjunction to the case of generalized pairs. As an application, we study a particular case of a conjecture by Prokhorov and Shokurov.

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Cited by 2 Pith papers

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  1. Discreteness of volumes of divisors on Calabi-Yau type varieties

    math.AG 2025-08 conditional novelty 7.0 of 10

    Volumes of integral divisors on epsilon-lc Calabi-Yau pairs lie in a fixed discrete set, settling Birkar's boundedness conjecture for polarized log Calabi-Yau pairs.

  2. The volume function is upper semicontinuous on families of divisors

    math.AG 2025-04 conditional novelty 6.0 of 10

    The volume of a divisor on the generic fiber of a flat family equals the infimum of its volumes on any dense family of fibers, yielding upper semicontinuity for reduced irreducible fibers.

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