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arXiv · 1811.07373

Symplectic fillings of quotient surface singularities and minimal model program

Hakho Choi·Heesang Park·Dongsoo Shin
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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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Hakho Choi, Heesang Park, Dongsoo Shin. 2019-12-16. Symplectic fillings of quotient surface singularities and minimal model program. https://arxiv.org/abs/1811.07373

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