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arXiv · 1310.2370

On Milnor classes via invariants of singular subschemes

James Fullwood
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Abstract

We derive a formula for the Milnor class of scheme-theoretic global complete intersections (with arbitrary singularities) in a smooth variety in terms of the Segre class of its singular scheme. In codimension one the formula recovers a formula of Aluffi for the Milnor class of a hypersurface.

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James Fullwood. 2013-11-18. On Milnor classes via invariants of singular subschemes. https://arxiv.org/abs/1310.2370

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