Timeline for Can one compute the automorphism group of a curve of genus >1?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 23 at 5:57 | vote | accept | Arno Fehm | ||
| Apr 22 at 23:59 | answer | added | Felipe Voloch | timeline score: 5 | |
| Apr 22 at 14:59 | comment | added | Will Sawin | For a smooth projectively normal curve of genus $g$ and degree $d$, every automorphism can be presented with a tuple of polynomials of degree $1+ \lceil \frac{g}{d} \rceil$ since by Riemann-Roch $\mathcal O( 1+ \lceil \frac{g}{d} \rceil) \otimes \sigma^* \mathcal O(-1)$ has a section and multiplying the pullback under $\sigma$ of the linear system corresponding to the embedding inside $H^0( C,\mathcal O(1))$ by such a section produces the desired tuple. If the curve is not projectively normal maybe you need a higher bound on the degree... | |
| Apr 22 at 14:48 | history | asked | Arno Fehm | CC BY-SA 4.0 |