Timeline for Smoothness of the quotient surface by an involution with nice fixed locus
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 3, 2014 at 12:00 | vote | accept | Heitor | ||
| Nov 29, 2013 at 17:37 | history | edited | Heitor | CC BY-SA 3.0 |
edited body
|
| Nov 29, 2013 at 17:37 | comment | added | Heitor | Thanks @WillSawin. You also made me notice the terrible mistake I made by mixing notation for $X$ and $Y$ (now $Z$ and $W$). Let me edit and fix that. | |
| Nov 29, 2013 at 17:30 | comment | added | Will Sawin | Any nontrivial relation between $X$ and $Y$ would, by substitution, immediately give a nontrivial relation between $z$ and $w$, which does not exist. | |
| Nov 29, 2013 at 17:12 | answer | added | abx | timeline score: 1 | |
| Nov 29, 2013 at 16:40 | history | edited | Heitor | CC BY-SA 3.0 |
added 77 characters in body
|
| Nov 29, 2013 at 16:11 | comment | added | Francesco Polizzi | $\mathbb{C}[z^2, w] \cong \mathbb{C}[z^2][w]$. It is obvious that $\mathbb{C}[z^2]$ is a polynomial ring, so $\mathbb{C}[z^2, w]$ is a polynomial ring, too. Hence $\textrm{Spec}\,(\mathbb{C}[z^2, w])$ is smooth. | |
| Nov 29, 2013 at 16:02 | history | asked | Heitor | CC BY-SA 3.0 |