Timeline for Factorially closed, finitely generated $k$-sub-algebra of $k[X_1,X_2,X_3]$ , where $k$ is algebraically closed field of positive characteristic
Current License: CC BY-SA 4.0
8 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
S May 22, 2018 at 0:42 | history | bounty ended | CommunityBot | ||
S May 22, 2018 at 0:42 | history | notice removed | CommunityBot | ||
May 17, 2018 at 13:43 | comment | added | assaferan | They can be eliminated just as in the original argument. | |
May 17, 2018 at 13:43 | comment | added | assaferan | It seems that the same argument works over any positive characteristic. The proof referenced here is using Miyanishi's result, which holds for any characteristic other than 2,3,5. The difference in small characteristic is due to the appearance of more singular surfaces, corresponding to the small subgroups of GL2. When $p=5$ the possibility of $x^2+y^3+z^5$ vanishes, when $p=3$ the binary tetrahedral group ($x^2+y^3+z^4$) appears, and when $p=2$, the binary octahedral group and the binary dihedral groups ($x^2 + y^3 + z^3y$ and $x^2 + y^2z + z^{n-1}$) appear. | |
S May 13, 2018 at 23:00 | history | bounty started | CommunityBot | ||
S May 13, 2018 at 23:00 | history | notice added | user111524 | Draw attention | |
May 12, 2018 at 15:41 | history | edited | user111524 | CC BY-SA 4.0 |
added 15 characters in body
|
May 11, 2018 at 20:26 | history | asked | user111524 | CC BY-SA 4.0 |