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arXiv · 1811.07422

The Milnor-Palamodov Theorem for Functions on Isolated Hypersurface Singularities

Konstantinos Kourliouros
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Abstract

In this note we give a simple proof of the following relative analog of the well known Milnor-Palamodov theorem: the Bruce-Roberts number of a function relative to an isolated hypersurface singularity is equal to its topological Milnor number (the rank of a certain relative (co)homology group) if and only if the hypersurface singularity is quasihomogeneous. The proof relies on an interpretation of the Bruce-Roberts number in terms of differential forms and the L\^e-Greuel formula.

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Konstantinos Kourliouros. 2018-11-18. The Milnor-Palamodov Theorem for Functions on Isolated Hypersurface Singularities. https://arxiv.org/abs/1811.07422

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