Timeline for parameterizing polynomial loops in $\mathbb{C}^\times$
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 25, 2010 at 16:28 | history | edited | David Corwin | CC BY-SA 2.5 |
added 12 characters in body
|
| Aug 25, 2010 at 16:27 | comment | added | David Corwin | Sorry, it should have been $n$ at the end. Yes, points of Xn correspond to points of n where none of the coordinates has magnitude $1$. This is why when scaling by positive values in $\mathbb{R}$ there are at most $n$ positive reals which make a given element of $\mathbb{C}^n$ not be in $X_n$. | |
| Aug 25, 2010 at 6:23 | comment | added | solbap | Can you elaborate more on your first paragraph. You mention things having dimension $2n, 2n -1$ and $n$. Perhaps the last one is also supposed to be $2n$. Also can your statement about the fibers of your quotient map. Shouldn't the points of $X_n$ corresponds to points of $\mathbb{C}^n$ where none of the coordinates has magnitude 1? | |
| Aug 25, 2010 at 5:31 | history | edited | David Corwin | CC BY-SA 2.5 |
added 179 characters in body
|
| Aug 25, 2010 at 5:17 | history | edited | David Corwin | CC BY-SA 2.5 |
added 91 characters in body
|
| Aug 25, 2010 at 5:11 | history | answered | David Corwin | CC BY-SA 2.5 |