The Milnor number of some isolated complete intersection singularities with 𝐶*-action

Randell, Richard

doi:10.1090/S0002-9939-1978-0507342-8

The Milnor number of some isolated complete intersection singularities with $C^{\ast }$-action
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Proc. Amer. Math. Soc. 72 (1978), 375-380 Request permission

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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Isolated singularities of weighted homogeneous complete intersections

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