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NUMBER M19039
AUTHOR Park, Heesang,Choi, Hakho
TITLE SYMPLECTIC FILLINGS OF QUOTIENT SURFACE SINGULARITIES AND MINIMAL MODEL PROGRAM
ARCHIVE arXiv:1811.07373
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JOURNAL JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2021
ABSTRACT We prove that every minimal symplectic filling of the link of a quotient surface singularity can be obtained from its minimal resolution by applying a sequence of rational blow-downs and symplectic antiflips. We present an explicit algorithm inspired by the minimal model program for complex 3-dimensional algebraic varieties.
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