DOI QR코드

DOI QR Code

SYMPLECTIC FILLINGS OF QUOTIENT SURFACE SINGULARITIES AND MINIMAL MODEL PROGRAM

  • Choi, Hakho (School of Mathematics Korea Institute for Advanced Study) ;
  • Park, Heesang (Department of Mathematics Konkuk University) ;
  • Shin, Dongsoo (Department of Mathematics Chungnam National University)
  • Received : 2020.02.26
  • Accepted : 2020.07.21
  • Published : 2021.03.01

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.