English

The Nonvanishing problem for varieties with nef anticanonical bundle

Algebraic Geometry 2023-12-14 v4

Abstract

We prove that if (X,Δ)(X,\Delta) is a threefold pair with mild singularities such that (KX+Δ){-}(K_X+\Delta) is nef, then the numerical class of (KX+Δ){-}(K_X+\Delta) is effective.

Keywords

Cite

@article{arxiv.2202.13814,
  title  = {The Nonvanishing problem for varieties with nef anticanonical bundle},
  author = {Vladimir Lazić and Shin-ichi Matsumura and Thomas Peternell and Nikolaos Tsakanikas and Zhixin Xie},
  journal= {arXiv preprint arXiv:2202.13814},
  year   = {2023}
}

Comments

v4: minor changes; to appear in Doc. Math

R2 v1 2026-06-24T09:56:22.613Z