Timeline for Can we construct a dessin of any genus with a cyclic automorphism group of any order?
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 25, 2021 at 2:41 | comment | added | Catherine Ray | Dr. Panov, I believe I am misunderstanding your construction, or using too few faces. See image: imgur.com/a/H1E2vsd . (1) In the genus 2 case, it seems that the pink-blue must map to the green-yellow (and vice versa), thus disallowing a C_3 action. Is there a surface map that takes the pink-blue line to the red line in genus 2? (2) The simplest attempt for the genus 1 case (for C3 using only 1 surgery) doesn't give a dessin, nor a cyclic automorphism. The "purple center" must be to the side when embedded, preventing the cyclic action. At least 3 surgeries are required, no? | |
| Jun 9, 2021 at 8:25 | history | edited | Dmitri Panov | CC BY-SA 4.0 |
added 665 characters in body
|
| Jun 8, 2021 at 9:17 | history | answered | Dmitri Panov | CC BY-SA 4.0 |