Timeline for Rational group scheme
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Mar 11, 2015 at 3:51 | comment | added | user69002 | @abx, I think in above notation you mean $GL_1(A)(k)$ In that case argument is clear. ulrich, what would be the underlying scheme in the above example? | |
| Mar 10, 2015 at 6:14 | comment | added | naf | Perhaps rational group scheme just means that the underlying scheme is a rational variety (over $k$). | |
| Mar 9, 2015 at 17:41 | comment | added | abx | I don't know what is a rational group scheme, but $\mathrm{PGL}_1(A)$ embeds into $\mathbb{P}(A)$ in an obvious way : $\mathrm{GL}_1(A)$ is open in $A$ and stable under homotheties, hence $\mathrm{PGL}_1(A)$ is open in $(A\smallsetminus\{0\})/ \mathbb{G}_m=\mathbb{P}(A)$. | |
| Mar 9, 2015 at 17:22 | review | First posts | |||
| Mar 9, 2015 at 17:22 | |||||
| Mar 9, 2015 at 17:20 | history | asked | user69002 | CC BY-SA 3.0 |