English

Bounds on the denominators in the canonical bundle formula

Algebraic Geometry 2012-05-21 v3

Abstract

In this work we study the moduli part in the canonical bundle formula of an lc-trivial fibration whose generic fibre is a rational curve. In particular we find a bound for the denominators of the discriminant and the moduli divisor.

Keywords

Cite

@article{arxiv.1105.4553,
  title  = {Bounds on the denominators in the canonical bundle formula},
  author = {Enrica Floris},
  journal= {arXiv preprint arXiv:1105.4553},
  year   = {2012}
}

Comments

17 pages, the title has been slightly changed, the proofs of Theorem 1.6 and Theorem 3.2 have been simplified and corrected. To appear in "Annales de l'Institut Fourier"

R2 v1 2026-06-21T18:11:16.292Z