On Nonvanishing for uniruled log canonical pairs

Vladimir Lazić; Fanjun Meng

doi:10.3934/era.2021039

On Nonvanishing for uniruled log canonical pairs

Algebraic Geometry 2022-05-23 v2

Authors: Vladimir Lazić , Fanjun Meng

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Abstract

We prove the Nonvanishing conjecture for uniruled projective log canonical pairs of dimension $n$ , assuming the Nonvanishing conjecture for smooth projective varieties in dimension $n-1$ . We also show that the existence of good minimal models for non-uniruled projective klt pairs in dimension $n$ implies the existence of good minimal models for projective log canonical pairs in dimension $n$ .

Keywords

nonvanishing conjecture uniruled pairs log canonical pairs klt pairs minimal models projective varieties

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@article{arxiv.1907.11991,
  title  = {On Nonvanishing for uniruled log canonical pairs},
  author = {Vladimir Lazić and Fanjun Meng},
  journal= {arXiv preprint arXiv:1907.11991},
  year   = {2022}
}

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v2: this paper supersedes arXiv:1906.11451; minor changes; to appear in Electron. Res. Arch

On Nonvanishing for uniruled log canonical pairs

Abstract

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