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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



On the homology of weighted homogeneous manifolds

Author: Kai Wang
Journal: Proc. Amer. Math. Soc. 69 (1978), 169-173
MSC: Primary 57D45; Secondary 32C40
MathSciNet review: 0474333
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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 [Enhancements On Off] (What's this?)

  • [1] E. Brieskorn, Beispiele zur Differential topologie von Singularitaten, Invent. Math. 2 (1966), 1-14. MR 0206972 (34:6788)
  • [2] J. Milnor, Singular points of complex hypersurfaces, Ann. of Math. Studies, No. 61, Princeton Univ. Press, Princeton, N. J., 1968. MR 0239612 (39:969)
  • [3] J. Milnor and P. Orlik, Isolated singularities defined by weighted homogeneous polynomials, Topology 9 (1970), 385-393. MR 0293680 (45:2757)

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Keywords: Hypersurface, characteristic polynomial, divisors
Article copyright: © Copyright 1978 American Mathematical Society

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