Symplectic fillings of quotient surface singularities and minimal model program
J. Korean Math. Soc. 2021 Vol. 58, No. 2, 419-437 https://doi.org/10.4134/JKMS.j200093 Published online September 22, 2020 Printed March 1, 2021
Hakho Choi, Heesang Park, Dongsoo Shin Korea Institute for Advanced Study; Korea Institute for Advanced Study; Chungnam National University
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.
