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Symplectic fillings of quotient surface singularities and minimal model program

신동수|박희상|최학호
대한수학회 (The Korean Mathematical Society)|2021.03|대한수학회지 (Journal of the KMS)|제58권 제2호|pp. 419-437|DOI 10.4134/JKMS.j200093

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참고문헌

키워드

rational blow-downsymplectic fillingMinimal model programquotient surface singularitysymplectic antiflip
주제분류수학

초록

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.

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.

참고문헌 (19)

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관련 논문AI추천

SYMPLECTIC 4-MANIFOLDS VIA SYMPLECTIC SURGERY ON COMPLEX SURFACE SINGULARITIES박희상, Andr´as I. Stipsicz대한수학회 · 대한수학회보2015 · 제52권 제4호Invariants of deformations of quotient surface singularities신동수, 전재관, Byoungcheon Han대한수학회 · 대한수학회지2019 · 제56권 제5호Rational homology balls in Milnor fibers of cyclic quotient surface singularities박희상, 신동수대한수학회 · 대한수학회보2024 · 제61권 제6호Smoothly embedded rational homology balls박희상, 신동수, Jongil Park대한수학회 · 대한수학회지2016 · 제53권 제6호LENS SPACES ADMITTING MINIMAL SYMPLECTIC FILLINGS WITH THE SECOND BETTI NUMBER ONE박희상, 신동수대한수학회 · 대한수학회보2023 · 제60권 제1호Rational homology disk smoothings and Lefschetz fibrations최학호대한수학회 · 대한수학회지2023 · 제60권 제1호

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