Bivariant Chern classes for morphisms with nonsingular target varieties

Shoji Yokura

Shoji Yokura

Open Mathematics, Tome 3 (2005), p. 614-626 / Harvested from The Polish Digital Mathematics Library

Résumé

W. Fulton and R. MacPherson posed the problem of unique existence of a bivariant Chern class-a Grothendieck transformation from the bivariant theory F of constructible functions to the bivariant homology theory H. J.-P. Brasselet proved the existence of a bivariant Chern class in the category of embeddable analytic varieties with cellular morphisms. In general however, the problem of uniqueness is still unresolved. In this paper we show that for morphisms having nonsingular target varieties there exists another bivariant theory $\tilde{𝔽}$ of constructible functions and a unique bivariant Chern class γ: $\tilde{𝔽} \to ℍ$ .

Publié le : 2005-01-01

Zbl 1106.14001

EUDML-ID : urn:eudml:doc:268871

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     author = {Shoji Yokura},
     title = {Bivariant Chern classes for morphisms with nonsingular target varieties},
     journal = {Open Mathematics},
     volume = {3},
     year = {2005},
     pages = {614-626},
     zbl = {1106.14001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02475622}
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Shoji Yokura. Bivariant Chern classes for morphisms with nonsingular target varieties. Open Mathematics, Tome 3 (2005) pp. 614-626. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475622/

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