Timeline for Are all parametrizations via polynomials algebraic varieties?
Current License: CC BY-SA 2.5
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| Sep 22, 2010 at 15:37 | comment | added | Emerton | I think you have just proved that the Zariski closure of the image is irreducible, which is certainly true if the source is irreducible. But this is not what was asked; e.g. $(x,y) \mapsto (x,xy)$ does not have Zariski closed, or even locally closed, image. | |
| Sep 22, 2010 at 14:30 | history | edited | JRJ | CC BY-SA 2.5 |
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| Sep 22, 2010 at 14:18 | comment | added | Sheikraisinrollbank | How do you know that the zero set of $I(Y)$ is the image of the map (and not something bigger)? | |
| Sep 22, 2010 at 14:02 | history | edited | JRJ | CC BY-SA 2.5 |
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| Sep 22, 2010 at 13:56 | history | answered | JRJ | CC BY-SA 2.5 |