The Adjunction Conjecture and its applications

Details The Adjunction Conjecture and its applications The Adjunction Conjecture and its applications

1999-03-10

arxiv.org/abs/math/9903060v3

Mathematics

Algebraic Geometry

LaTex, 34 pages

Scientific paper

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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