Geodesic
Motivic and derived motivic Hirzebruch classes
Homology, homotopy, and applications, Tome 18 (2016) no. 2, pp. 283-301.

Voir la notice de l'article provenant de la source International Press of Boston

In this paper we give a formula for the Hirzebruch $\chi_y$-genus $\chi_y(X)$ and similarly for the motivic Hirzebruch class $T_{y*}(X)$ for possibly singular varieties $X$, using the Vandermonde matrix. Motivated by the notion of secondary Euler characteristic and higher Euler characteristic, we consider a similar notion for the motivic Hirzebruch class, which we call a derived motivic Hirzebruch class.
DOI : 10.4310/HHA.2016.v18.n2.a16
Classification : 14C17, 14C40, 14F25, 14F45, 14Q15, 32S35
Keywords: higher Euler characteristic, arithmetic genus, signature, Hirzebruch genus, homology, Chern class, Todd class, $L$-class, motivic Hirzebruch class 
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     title = {Motivic and derived motivic {Hirzebruch} classes},
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     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n2.a16/}
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Jean-Paul Brasselet; Jörg Schürmann; Shoji Yokura. Motivic and derived motivic Hirzebruch classes. Homology, homotopy, and applications, Tome 18 (2016) no. 2, pp. 283-301. doi : 10.4310/HHA.2016.v18.n2.a16. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n2.a16/

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