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- W2034882010 abstract "The Milnor class is a generalization of the Milnor number, defined as the difference (up to sign) of Chern--Schwartz--MacPherson's class and Fulton--Johnson's canonical Chern class of a local complete intersection variety in a smooth variety. In this paper we introduce a Grothendieck group $K^{mathcal Prop}_{ell.c.i}(mathcal V/X to S)$ and natural transformations from this Grothendieck group to the homology theory. We capture the Milnor class, more generally Hirzebruch--Milnor class, as a special value of a distinguished element under these natural transformations. We also show a Verdier-type Riemann--Roch formula for our motivic Hirzebruch-Milnor class. We use Fulton--MacPherson's bivariant theory and the motivic Hirzebruch class." @default.
- W2034882010 created "2016-06-24" @default.
- W2034882010 creator A5062349983 @default.
- W2034882010 date "2010-01-01" @default.
- W2034882010 modified "2023-10-13" @default.
- W2034882010 title "Motivic Milnor classes" @default.
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- W2034882010 doi "https://doi.org/10.5427/jsing.2010.1c" @default.
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