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-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 133 Sayı: 5
• Basım Tarihi: 2011
• Doi Numarası: 10.1353/ajm.2011.0036
• Dergi Adı: AMERICAN JOURNAL OF MATHEMATICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.1259-1297
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Orta Doğu Teknik Üniversitesi Adresli: Evet

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.