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arxiv: math/9903060 · v3 · submitted 1999-03-10 · 🧮 math.AG

The Adjunction Conjecture and its applications

Florin Ambro This is my paper
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

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

    math.AG 2026-05 unverdicted novelty 7.0

    Generalizes the DCC property of Iitaka volumes to real coefficients on usual pairs and establishes it for generalised pairs with natural boundedness assumptions.

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

    math.AG 2026-05 unverdicted novelty 6.0

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