English

On generalized lc pairs with $\mathrm{\textbf b}$-log abundant nef part

Algebraic Geometry 2022-02-25 v2

Abstract

We study the behavior of generalized lc pairs with b\mathrm{\textbf b}-log abundant nef part, a meticulously designed structure on algebraic varieties. We show that this structure is preserved under the canonical bundle formula and sub-adjunction formulas, and is also compatible with the non-vanishing conjecture and the abundance conjecture in the classical minimal model program.

Keywords

Cite

@article{arxiv.2202.11256,
  title  = {On generalized lc pairs with $\mathrm{\textbf b}$-log abundant nef part},
  author = {Junpeng Jiao and Jihao Liu and Lingyao Xie},
  journal= {arXiv preprint arXiv:2202.11256},
  year   = {2022}
}

Comments

20 pages, v2. Reference update

R2 v1 2026-06-24T09:50:33.240Z