Numerical contraction for orbifold surfaces
arXiv:2110.05447
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 -terminal pairs.
Accepted by Bull. Inst. Math. Acad. Sinica