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The Adjunction Conjecture and its applications

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arxiv math/9903060 v3 pith:VC4G334R submitted 1999-03-10 math.AG

Florin Ambro This is my paper · ORCID
classification math.AG
keywords adjunctionconjecturealonganghernapplicationapplicationsboundbuilding
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We discuss adjunction formulas for fiber spaces and embeddings, extending the known results along the lines of the Adjunction Conjecture, independently proposed by Y. Kawamata and V.V. Shokurov. As an application, we simplify Koll\'ar's proof for the Anghern and Siu's quadratic bound in the Fujita's Conjecture. We also connect adjunction and its precise inverse to the problem of building isolated log canonical singularities.

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Cited by 2 Pith papers

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

  1. On the DCC Property of Iitaka Volume with Real Coefficients and Generalised Pairs

    math.AG 2026-05 unverdicted novelty 7.0 of 10

    The DCC property for Iitaka volumes holds for real-coefficient pairs and for generalized pairs with natural boundedness assumptions.

  2. On the boundedness of elliptic Calabi-Yau 4-folds

    math.AG 2026-07 accept novelty 6.0 of 10

    Elliptic Calabi–Yau 4-folds not crepant to a product quotient of a Calabi–Yau 3-fold times an elliptic curve form a bounded family.

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