English

Positivity of the Moduli Part

Algebraic Geometry 2022-03-03 v2

Abstract

We prove the Cone Theorem for algebraically integrable foliations. As a consequence, we show that termination of flips implies the b-nefness of the moduli part of a log canonical pair with respect to a contraction, generalising the case of lc trivial fibrations.

Keywords

Cite

@article{arxiv.2111.00423,
  title  = {Positivity of the Moduli Part},
  author = {Florin Ambro and Paolo Cascini and Vyacheslav Shokurov and Calum Spicer},
  journal= {arXiv preprint arXiv:2111.00423},
  year   = {2022}
}

Comments

36 pages. General improvements, e.g. several results do not require termination of flips anymore