J. Korean Math. Soc. 2021; 58(2): 419-437
Online first article September 22, 2020 Printed March 1, 2021
https://doi.org/10.4134/JKMS.j200093
Copyright © The Korean Mathematical Society.
Hakho Choi, Heesang Park, Dongsoo Shin
Korea Institute for Advanced Study; Korea Institute for Advanced Study; Chungnam National University
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.
Keywords: Minimal model program, quotient surface singularity, rational blow-down, symplectic antiflip, symplectic filling
MSC numbers: 57R40, 57R55, 14B07
2019; 56(5): 1173-1246
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