Summary
Our basic intersection construction has assigned to a regular imbedding (or l.c.i. morphism) f: X → Y of codimension d a collection of homomorphisms
for all Y′ → Y, X′ = X × Y Y′, all k. In this chapter we formalize the study of such operations. For any morphism f: X → Y, a bivariant class c in \(A^p \left( {X\mathop \to \limits^f Y} \right)\) is a collection of homomorphisms from A k Y′ to A k−p X′, for all Y′ → Y, all k, compatible with push-forward, pull-back, and intersection products.
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© 1984 Springer-Verlag Berlin Heidelberg
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Fulton, W. (1984). Bivariant Intersection Theory. In: Intersection Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02421-8_18
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DOI: https://doi.org/10.1007/978-3-662-02421-8_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-02423-2
Online ISBN: 978-3-662-02421-8
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