Timeline for Zero-cycles on an arithmetic surface
Current License: CC BY-SA 3.0
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| Apr 15, 2011 at 6:43 | comment | added | ACL | A similar result is valid for any regular scheme $X$ of finite type over $\mathop{\rm Spec}(\mathbb Z)$: the Chow group of zero cycles is finite, with the exceptions of schemes which are proper over a finite field~$\mathbb F_p$ for which the Chow group of zero cycles has the form $\mathbb Z\oplus G$, for some finite group $G$. This is a part of geometric class field theory, due to Rosenlicht, Lang (50s), Bloch (1981), Kato-Saito (1986)... Szamuely's Seminaire Bourbaki explains the new point of view given by work of Wiesend. | |
| Apr 15, 2011 at 1:47 | history | edited | SGP | CC BY-SA 3.0 |
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| Apr 15, 2011 at 1:19 | history | answered | SGP | CC BY-SA 3.0 |