Descent of algebraic cycles
Homology, homotopy, and applications, Tome 19 (2017) no. 1, pp. 135-154.

Voir la notice de l'article provenant de la source International Press of Boston

We characterize universally generalizing morphisms which satisfy descent of algebraic cycles as those which are surjective with generically reduced fibres. In doing so, we introduce a naive pullback of cycles for arbitrary morphisms between noetherian schemes, which generalizes the classical pullback for flat morphisms, and then prove basic properties of this naive pullback.
DOI : 10.4310/HHA.2017.v19.n1.a7
Classification : 14C25
Keywords: algebraic cycle, descent
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     author = {Johannes Ansch\"utz},
     title = {Descent of algebraic cycles},
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     pages = {135--154},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2017.v19.n1.a7/}
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Johannes Anschütz. Descent of algebraic cycles. Homology, homotopy, and applications, Tome 19 (2017) no. 1, pp. 135-154. doi : 10.4310/HHA.2017.v19.n1.a7. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2017.v19.n1.a7/

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