Numerical contraction for orbifold surfaces

N Grieve�- arXiv preprint arXiv:2110.05447, 2021 - arxiv.org
N Grieve
arXiv preprint arXiv:2110.05447, 2021arxiv.org
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 $ b $-terminal pairs.
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.
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