English

A note on b-divisors and filtrations on a local ring

Algebraic Geometry 2026-04-09 v1

Abstract

In this note, we prove a correspondence between filtrations and b-divisors over a general class of Noetherian local domains. As an application in the global setting, we prove a recent conjecture of Ro\'e-Urbinati.

Cite

@article{arxiv.2604.07252,
  title  = {A note on b-divisors and filtrations on a local ring},
  author = {Lu Qi},
  journal= {arXiv preprint arXiv:2604.07252},
  year   = {2026}
}

Comments

11 pages; comments are most welcome!

R2 v1 2026-07-01T11:59:34.499Z