English

On the non-vanishing conjecture and existence of log minimal models

Algebraic Geometry 2017-11-22 v4

Abstract

We prove that the non-vanishing conjecture and the log minimal model conjecture for projective log canonical pairs can be reduced to the non-vanishing conjecture for smooth projective varieties such that the boundary divisor is zero.

Keywords

Cite

@article{arxiv.1609.00121,
  title  = {On the non-vanishing conjecture and existence of log minimal models},
  author = {Kenta Hashizume},
  journal= {arXiv preprint arXiv:1609.00121},
  year   = {2017}
}

Comments

17 pages. final version. Remark 3.3 was added. To appear in Publ. Res. Inst. Math. Sci. arXiv admin note: text overlap with arXiv:1607.05005