English

On a generalized canonical bundle formula and generalized adjunction

Algebraic Geometry 2021-08-12 v3

Abstract

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.

Keywords

Cite

@article{arxiv.1807.04847,
  title  = {On a generalized canonical bundle formula and generalized adjunction},
  author = {Stefano Filipazzi},
  journal= {arXiv preprint arXiv:1807.04847},
  year   = {2021}
}

Comments

Improved the exposition. Added Theorem 1.8, which is an alternative version of Theorem 1.7. Added a technical assumption in Theorem 6.7 (previously 6.6)

R2 v1 2026-06-23T02:59:40.622Z