English

Shokurov's global index conjecture for threefold foliations

Algebraic Geometry 2026-05-22 v1

Abstract

We prove Shokurov's global index conjecture for foliations in dimension at most three. This answers a question of the first author, Meng, and Xie in dimension three. The main result of this paper is partially obtained by generative AI, particularly the Rethlas system.

Keywords

Cite

@article{arxiv.2605.22735,
  title  = {Shokurov's global index conjecture for threefold foliations},
  author = {Jihao Liu and Sheng Qin},
  journal= {arXiv preprint arXiv:2605.22735},
  year   = {2026}
}

Comments

17 pages. partially AI generated, human verified