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On Milnor classes via invariants of singular subschemes

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.

preprint2013arXivOpen access
James Fullwood
math.AG
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James Fullwood

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