English

Log canonical foliation singularities on surfaces

Algebraic Geometry 2021-04-02 v1

Abstract

We give a classification of the dual graphs of the exceptional divisors on the minimal resolutions of log canonical foliation singularities on surfaces. For an application, we show the set of foliated minimal log discrepancies for foliated surface triples satisfies the ascending chain condition and a Grauert-Riemenschneider type vanishing theorem for foliated surfaces with good log canonical foliation singularities.

Keywords

Cite

@article{arxiv.2104.00591,
  title  = {Log canonical foliation singularities on surfaces},
  author = {Yen-An Chen},
  journal= {arXiv preprint arXiv:2104.00591},
  year   = {2021}
}

Comments

31 pages. Any comments are very welcomed

R2 v1 2026-06-24T00:46:50.139Z