English

On the B-Semiampleness Conjecture

Algebraic Geometry 2025-08-22 v3

Abstract

The B-Semiampleness Conjecture of Prokhorov and Shokurov predicts that the moduli part in a canonical bundle formula is semiample on a birational modification. We prove that the restriction of the moduli part to any sufficiently high divisorial valuation is semiample, assuming the conjecture in lower dimensions.

Keywords

Cite

@article{arxiv.1808.00717,
  title  = {On the B-Semiampleness Conjecture},
  author = {Enrica Floris and Vladimir Lazić},
  journal= {arXiv preprint arXiv:1808.00717},
  year   = {2025}
}

Comments

26 pages

R2 v1 2026-06-23T03:22:33.525Z