Timeline for Points of a variety defined by Galois descent
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
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| Mar 2, 2010 at 5:44 | history | edited | BCnrd | CC BY-SA 2.5 |
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| Feb 16, 2010 at 7:04 | history | edited | BCnrd | CC BY-SA 2.5 |
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| Feb 16, 2010 at 6:17 | comment | added | BCnrd | Martin, I have revised it now to address that. | |
| Feb 16, 2010 at 6:16 | history | edited | BCnrd | CC BY-SA 2.5 |
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| Feb 15, 2010 at 21:38 | comment | added | Martin Orr | Thanks for the answer, but there is one thing I don't understand: if $a \in Y(A)$ and $x \in \Sigma = X(\bar{k})$, then what does $a(x)$ mean? | |
| Feb 15, 2010 at 21:36 | comment | added | Martin Orr | The condition (2) is there because I didn't want to be limited to cases where the Galois action is induced from an action on affine space. For example, I wanted to be able to take the subscheme of $\mathbb{A}^2_\mathbb{C}$ defined by $X - iY = 0$, let $\mathop{\mathrm{Gal}}(\mathbb{C}\mathbb{R})$ act on its $\mathbb{C}$ points trivially, and say that this descends (to something isomorphic to $\mathbb{A}^1_\mathbb{R}$). Condition (2) was my attempt to write down a condition to do this, which might not be correct. I am not sure why I wanted this. | |
| Feb 15, 2010 at 17:23 | history | edited | BCnrd | CC BY-SA 2.5 |
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| Feb 15, 2010 at 13:27 | history | edited | BCnrd | CC BY-SA 2.5 |
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| Feb 15, 2010 at 6:05 | history | edited | BCnrd | CC BY-SA 2.5 |
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| Feb 15, 2010 at 3:37 | history | answered | BCnrd | CC BY-SA 2.5 |