Geodesic
On additive higher Chow groups of affine schemes
Documenta mathematica, Tome 21 (2016), pp. 49-89
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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 =2 form a differential graded module over the big de Rham–Witt complex Wm​Ω^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.
DOI : 10.4171/dm/527
Classification : 13F35, 14C25, 19E15
Mots-clés : Witt vectors, de Rham-Witt complex, algebraic cycle, additive higher Chow group 
@article{10_4171_dm_527,
     author = {Jinhyun Park and Amalendu Krishna},
     title = {On additive higher {Chow} groups of affine schemes},
     journal = {Documenta mathematica},
     pages = {49--89},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/527},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/527/}
}
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Jinhyun Park; Amalendu Krishna. On additive higher Chow groups of affine schemes. Documenta mathematica, Tome 21 (2016), pp. 49-89. doi: 10.4171/dm/527

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