4 papers
Algebraic cycles of some Fano varieties with Hodge structure of level one
Pedro Montero, Iván Rosas-Soto
We study Chow groups and étale motivic cohomology groups of smooth complete intersections with Hodge structures of level one, classified by Deligne and Rapoport, with particular at…
Fourier transform for étale motivic cohomology
Ivan Rosas-Soto
In the present article, we study the integral aspects of the Fourier transform of an abelian variety over a field , using étale motivic cohomology, following the ideas and t…
Chow Künneth decomposition for étale motives
Ivan Rosas-Soto
In the present article we define an integral analogue of Chow-Künneth decomposition for étale motives. By using families of conservative functors we are able to establish a decompo…
Étale degree map and 0-cycles
Ivan Rosas-Soto
By using the triangulated category of étale motives over a field , for a smooth projective variety over , we define the group as an étale analo…