Numerical contraction for orbifold surfaces
by Nathan Grieve  

Vol. 16 No. 3 (2021) P.241~P.261

DOI:	https://doi.org/10.21915/BIMAS.2021303
	10.21915/BIMAS.2021303

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 $b$-terminal pairs.

KEYWORDS
Birational divisors, exceptional curves, extremal rays, minimal model program, orbifold surfaces.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 14E30, 14J10

MILESTONES

Received: 2021-08-04
Revised :
Accepted: 2021-10-11

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