English

Numerical contraction for orbifold surfaces

Algebraic Geometry 2021-10-12 v1

Abstract

We study singularities and Artin's contraction theorem for orbifold surfaces. Our main result has a consequence which is in the direction of the birational Minimal Model Program for b-terminal orbifold surfaces. For example, we ascertain the nature of extremal contractions for such bb-terminal pairs.

Keywords

Cite

@article{arxiv.2110.05447,
  title  = {Numerical contraction for orbifold surfaces},
  author = {Nathan Grieve},
  journal= {arXiv preprint arXiv:2110.05447},
  year   = {2021}
}

Comments

Accepted by Bull. Inst. Math. Acad. Sinica

R2 v1 2026-06-24T06:48:05.629Z