Geodesic
Rationality of integral cycles
Documenta mathematica, Andrei A. Suslin's Sixtieth Birthday (2010), pp. 661-670.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

In this article we provide the sufficient condition for a Chow group element to be defined over the ground field. This is an integral version of the result known for $\Bbb Z/2$-coefficients. We also show that modulo 2 and degree $r$ cohomological invariants of algebraic varieties can not affect rationality of cycles of codimensions up to $2^{r-1}-2$.
Classification : 14C15, 11E04, 14C25, 19D45, 55S25
Keywords: quadric, function field of a quadric, Chow group, algebraic cobordism, symmetric operation, Landweber-Novikov operation, rationality 
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     author = {Vishik, Alexander},
     title = {Rationality of integral cycles},
     journal = {Documenta mathematica},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2010__S4__a2/}
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Vishik, Alexander. Rationality of integral cycles. Documenta mathematica, Andrei A. Suslin's Sixtieth Birthday (2010), pp. 661-670. http://geodesic.mathdoc.fr/item/DOCMA_2010__S4__a2/