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Weighted homogeneous singularities and rational homology disk smoothings
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 133, Number 5, October 2011
- pp. 1259-1297
- 10.1353/ajm.2011.0036
- Article
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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.