Geodesic
A~remark on 0-cycles as modules over algebras of finite correspondences
Sbornik. Mathematics, Tome 214 (2023) no. 8, pp. 1153-1162

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Given a smooth projective variety $X$ over a field, consider the $\mathbb Q$-vector space $Z_0(X)$ of 0-cycles (that is, formal finite $\mathbb Q$-linear combinations of closed points of $X$) as a module over the algebra of finite correspondences. Then the rationally trivial 0-cycles on $X$ form an absolutely simple and essential submodule of $Z_0(X)$. Bibliography: 15 titles.
Keywords: finite correspondences.
Mots-clés : 0-cycles, filtrations on 0-cycles 
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     author = {M. Z. Rovinsky},
     title = {A~remark on 0-cycles as modules over algebras of finite correspondences},
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M. Z. Rovinsky. A~remark on 0-cycles as modules over algebras of finite correspondences. Sbornik. Mathematics, Tome 214 (2023) no. 8, pp. 1153-1162. http://geodesic.mathdoc.fr/item/SM_2023_214_8_a6/