Timeline for Localization of Chow groups and flat base change
Current License: CC BY-SA 4.0
4 events
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Aug 16, 2020 at 3:41 | comment | added | abx | For $X$ a smooth projective curve of genus $\geq 1$ defined over $\mathbb{Q}$, $CH^1(X)=\operatorname{Pic}(X) $ is finitely generated, while $CH^1(X\otimes _{\mathbb{Q}}\mathbb{C})$ is an extension of $\mathbb{Z} $ by a complex torus. | |
Aug 15, 2020 at 22:47 | history | edited | curious math guy | CC BY-SA 4.0 |
added 289 characters in body; edited title
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Aug 15, 2020 at 21:52 | comment | added | R. van Dobben de Bruyn | Note that $X \amalg X$ is already a covering of $X$ in the (big) Zariski site. Somehow the objects that appear in the site and the families that form coverings are separate (unrelated) notions. This question is only about objects and does not see the Grothendieck (pre)topology. | |
Aug 15, 2020 at 20:26 | history | asked | curious math guy | CC BY-SA 4.0 |