Symplectic fillings of quotient surface singularities and minimal model program

2018/11/18 by Choi, Hakho, Park, Heesang, Shin, Dongsoo
#14B07 #57R40 #57R55 #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1811.07373

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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