Timeline for Necessary/Sufficient condition/Algorithm that tells me a function field is a kummer extension
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 26, 2011 at 18:27 | comment | added | Syed | @Felipe I read in this paper: arxiv.org/abs/math/0205314 at top of page 2: A curve with large automorphism group always has orbit genus 0. Large means |Aut(C)| > |4(g-1)|. | |
| Apr 21, 2011 at 0:39 | comment | added | Felipe Voloch | I don't think you'll be able to do it without looking at ramification. | |
| Apr 20, 2011 at 19:34 | comment | added | Syed | I mean I need Ramification structure, is it possible to just using $Aut(F/K)$ and $G$ we can compute the genus of $F^G$? | |
| Apr 20, 2011 at 19:32 | comment | added | Syed | How is genus of $F^G$ computable if all I have is the automorphism group? | |
| Apr 20, 2011 at 2:51 | history | answered | Felipe Voloch | CC BY-SA 3.0 |