Timeline for How to make Burnside's formula compatible with point counting for varieties over finite fields?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Sep 22, 2022 at 18:47 | history | became hot network question | |||
| Sep 22, 2022 at 16:33 | vote | accept | bernardorim | ||
| Sep 22, 2022 at 12:26 | answer | added | David E Speyer | timeline score: 8 | |
| Sep 22, 2022 at 12:15 | history | edited | bernardorim | CC BY-SA 4.0 |
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| Sep 22, 2022 at 12:12 | comment | added | Chris H | The usual identification of symmetric powers of the line with projective space goes via encoding polynomials as their roots, which seems to mess with the point counting equalities you gave. Someone more knowledgeable can hopefully see what’s going on here. | |
| Sep 22, 2022 at 12:10 | comment | added | bernardorim | Of course, +2 instead of +1, that was a typo, thanks! And I also edited the notation for over $\mathbb F_p$ | |
| Sep 22, 2022 at 12:08 | history | edited | bernardorim | CC BY-SA 4.0 |
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| Sep 22, 2022 at 11:03 | comment | added | YCor | The quotient map might not be surjective on $\mathbf{F}_p$-points. I didn't look carefully at this example, but for another action of a group of order $2$: the homomorphism $\mathrm{SL}_2\to\mathrm{PGL}_2$ is surjective, but not surjective on $F$-points when $F$ is a finite field of odd cardinal. | |
| Sep 22, 2022 at 10:46 | history | asked | bernardorim | CC BY-SA 4.0 |