On Milnor classes via invariants of singular subschemes
Journal of Singularities, Tome 8 (2014), pp. 1-10
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We derive a formula for the Milnor class of certain 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.
@article{10_5427_jsing_2014_8a,
author = {James Fullwood},
title = {On {Milnor} classes via invariants of singular subschemes},
journal = {Journal of Singularities},
pages = {1--10},
publisher = {mathdoc},
volume = {8},
year = {2014},
doi = {10.5427/jsing.2014.8a},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.8a/}
}
James Fullwood. On Milnor classes via invariants of singular subschemes. Journal of Singularities, Tome 8 (2014), pp. 1-10. doi: 10.5427/jsing.2014.8a
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