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A singular Riemann-Roch for Hirzebruch characteristics

100%

Yokura S.

Banach Center Publications

1998

tom 44

nr 1

257-268

Bivariant Chern classes for morphisms with nonsingular target varieties

100%

Yokura S.

Open Mathematics

2005

tom 3

nr 4

614-626

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 $$\tilde {\mathbb{F}}$$ of constructible functions and a unique bivariant Chern class γ: $$\tilde {\mathbb{F}} \to {\mathbb{H}}$$ .

Ograniczanie wyników

1 Banach Center Publications

1 Open Mathematics

2 Yokura S.

1 2005

1 1998

Wyniki wyszukiwania

A singular Riemann-Roch for Hirzebruch characteristics

Bivariant Chern classes for morphisms with nonsingular target varieties