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Article Dans Une Revue Quarterly Journal of Mathematics Année : 2016

Comparing Euler classes

Jean Fasel

Résumé

We establish the equality of two definitions of an Euler class in algebraic geometry: the first definition is as a "characteristic class" with values in Chow-Witt theory, while the second definition is as an "obstruction class." Along the way, we refine Morel's relative Hurewicz theorem in A^1-homotopy theory, and show how to define (twisted) Chow-Witt groups for geometric classifying spaces.

Dates et versions

hal-01674706 , version 1 (03-01-2018)

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Citer

Aravind Asok, Jean Fasel. Comparing Euler classes. Quarterly Journal of Mathematics, 2016, 67 (4), pp.603-635. ⟨10.1093/qmath/haw033⟩. ⟨hal-01674706⟩
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