Displaying similar documents to “A Hirzebruch-Riemann-Roch formula for analytic spaces and non-projective algebraic varieties”

Bivariant Chern classes for morphisms with nonsingular target varieties

Shoji Yokura (2005)

Open Mathematics

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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...

Correspondence homomorphisms for singular varieties

Eric M. Friedlander, Barry Mazur (1994)

Annales de l'institut Fourier

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We study certain kinds of geometric correspondences between (possibly singular) algebraic varieties and we obtain comparison results regarding natural filtrations on the homology of varieties.