On the homology of weighted homogeneous manifolds
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- by Kai Wang
- Proc. Amer. Math. Soc. 69 (1978), 169-173
- DOI: https://doi.org/10.1090/S0002-9939-1978-0474333-5
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Abstract:
In this note we produce a formula for the rank of the homology groups of weighted homogeneous manifolds which is derived from Milnor and Orlik’s formula. However, our formula is easier to compute if the weights have many repetitions.References
- Egbert Brieskorn, Beispiele zur Differentialtopologie von Singularitäten, Invent. Math. 2 (1966), 1–14 (German). MR 206972, DOI 10.1007/BF01403388
- John Milnor, Singular points of complex hypersurfaces, Annals of Mathematics Studies, No. 61, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1968. MR 0239612
- John Milnor and Peter Orlik, Isolated singularities defined by weighted homogeneous polynomials, Topology 9 (1970), 385–393. MR 293680, DOI 10.1016/0040-9383(70)90061-3
Bibliographic Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 69 (1978), 169-173
- MSC: Primary 57D45; Secondary 32C40
- DOI: https://doi.org/10.1090/S0002-9939-1978-0474333-5
- MathSciNet review: 0474333