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arXiv · 2302.13790

A remark on 0-cycles as modules over algebras of finite correspondences

M. Rovinsky
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Abstract

Given a smooth projective variety $X$ over a field, consider the $\mathbb Q$-vector space $Z_0(X)$ of 0-cycles (i.e. formal finite $\mathbb Q$-linear combinations of the 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 $Z_0(X)$.

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M. Rovinsky. 2023-08-01. A remark on 0-cycles as modules over algebras of finite correspondences. https://doi.org/10.4213/sm9907e

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