Timeline for Line Bundles on Torus Quotient
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 16, 2010 at 14:58 | vote | accept | Dinakar Muthiah | ||
| Mar 27, 2010 at 6:06 | history | edited | Dinakar Muthiah | CC BY-SA 2.5 |
added 8 characters in body
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| Mar 27, 2010 at 2:46 | comment | added | BCnrd | State hypotheses that gp is over alg closed field, or tori are split. Over general field, conn'd ss groups need not contain Borels and tori need not be split. Linear rep of non-split torus may not be direct sum of rank-1 reps over base. If $T$ splits then $T$-torsor over base $S$ is $S$-affine with relative coord ring projective over affine opens in $S$ (etale-local property, Raynaud-Gruson) so decomposes into a direct sum of qcoh sheaves projective over open affines with action through chars. Over noetherian ring, proj module is finite loc free or is free (Bass' "big proj mods are free"). | |
| Mar 26, 2010 at 20:01 | answer | added | Ben Webster♦ | timeline score: 2 | |
| Mar 26, 2010 at 18:47 | history | asked | Dinakar Muthiah | CC BY-SA 2.5 |