Geodesic
On additive higher Chow groups of affine schemes
Documenta mathematica, Tome 21 (2016), pp. 49-89.

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

Summary: We show that the multivariate additive higher Chow groups of a smooth affine $k$-scheme $\Spec (R)$ essentially of finite type over a perfect field $k$ of characteristic $\not = 2$ form a differential graded module over the big de Rham-Witt complex $\W_{m}\Omega$^bullet_R. In the univariate case, we show that additive higher Chow groups of $\Spec (R)$ form a Witt-complex over $R$. We use these structures to prove an étale descent for multivariate additive higher Chow groups.
Classification : 14C25, 13F35, 19E15
Keywords: algebraic cycle, additive higher Chow group, Witt vectors, de Rham-Witt complex 
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     author = {Krishna, Amalendu and Park, Jinhyun},
     title = {On additive higher {Chow} groups of affine schemes},
     journal = {Documenta mathematica},
     pages = {49--89},
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     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a41/}
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Krishna, Amalendu; Park, Jinhyun. On additive higher Chow groups of affine schemes. Documenta mathematica, Tome 21 (2016), pp. 49-89. http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a41/