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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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참고문헌 (19)
참고문헌 신청
K. Behnke / 1994 / M-resolutions and deformations of quotient singularities / Amer. J. Math 116(4):881~903
M. Bhupal / 2012 / Symplectic fillings of links of quotient surface singularities / Nagoya Math. J 207:1~45
M. Bhupal / 2017 / Symplectic fillings of links of quotient surface singularities–corrigendum / Nagoya Math. J 225:207~212
M. Bhupal / 2016 / Symplectic fillings of lens spaces as Lefschetz fibrations / J. Eur. Math. Soc. (JEMS) 18(7):1515~1535
H. Choi / 2020 / A Lefschetz fibration structure on minimal symplectic fillings of a quotient surface singularity / Math. Z. 295:1183~1204
M. Bhupal / 2012 / Symplectic fillings of links of quotient surface singularities / Nagoya Math. J 207:1~45
M. Bhupal / 2017 / Symplectic fillings of links of quotient surface singularities–corrigendum / Nagoya Math. J 225:207~212
M. Bhupal / 2016 / Symplectic fillings of lens spaces as Lefschetz fibrations / J. Eur. Math. Soc. (JEMS) 18(7):1515~1535
H. Choi / 2020 / A Lefschetz fibration structure on minimal symplectic fillings of a quotient surface singularity / Math. Z. 295:1183~1204
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