Orientations and transfers in cohomology of algebraic varieties
Algebra i analiz, Tome 18 (2006) no. 2, pp. 167-224.

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Algebro-geometric cohomology theories are described axiomatically, with a systematic treatment of their orientations. For every oriented theory, transfer mappings are constructed for mappings of smooth varieties that are proper on supports. In some basic cases, transfers are calculated. The presentation is illustrated by motivic cohomology, K-theory, algebraic cobordism, and other examples.
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A. L. Smirnov. Orientations and transfers in cohomology of algebraic varieties. Algebra i analiz, Tome 18 (2006) no. 2, pp. 167-224. https://geodesic-test.mathdoc.fr/item/AA_2006_18_2_a5/

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