WEIGHTED HOMOGENEOUS SINGULARITIES AND RATIONAL HOMOLOGY DISK SMOOTHINGS


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BHUPAL M. L. , Stipsicz A. I.

AMERICAN JOURNAL OF MATHEMATICS, cilt.133, sa.5, ss.1259-1297, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 133 Konu: 5
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1353/ajm.2011.0036
  • Dergi Adı: AMERICAN JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.1259-1297

Özet

We classify the resolution graphs of weighted homogeneous surface singularities which admit rational homology disk smoothings. The nonexistence of rational homology disk smoothings is shown by symplectic geometric methods, while the existence is verified via smoothings of negative weight.