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Proceedings of the American Mathematical Society

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

 

 

The Milnor number of some isolated complete intersection singularities with $ C\sp{\ast} $-action


Author: Richard Randell
Journal: Proc. Amer. Math. Soc. 72 (1978), 375-380
MSC: Primary 32B30
DOI: https://doi.org/10.1090/S0002-9939-1978-0507342-8
MathSciNet review: 507342
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Abstract: We compute the Milnor number of isolated complete intersection singularities defined by weighted homogeneous polynomials of the same type. We use this result to compute the characteristic polynomial of a certain monodromy and thus obtain some information about the link of the singularity. We also discuss the question of when such a complete intersection with specified weights exists.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1978-0507342-8
Keywords: Isolated singularity, Milnor number, complete intersection, link of singularity, weighted homogeneous polynomial, $ {{\mathbf{C}}^\ast}$-action
Article copyright: © Copyright 1978 American Mathematical Society