Timeline for Are all parametrizations via polynomials algebraic varieties?
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 22, 2010 at 13:56 | answer | added | JRJ | timeline score: 1 | |
| Sep 10, 2010 at 14:10 | vote | accept | Jesus Martinez Garcia | ||
| Aug 31, 2010 at 16:15 | comment | added | user2490 | As others note in answers, the image is not necessarily a subvariety if you have more than one source variable---but the image is always constructible. You can calculate the Zariski closure easily by elimination (in theory---may take a long time): for Hartshorne exercise, ask a CAS to eliminate t from the list of defining parametric equations. When you are parameterizing by A^1, the image is always closed, since A^1 --> A^r is a finite map if nontrivial. In Hartshorne exercise, for example, t satisfies the monic polynomial T^3 - x over k[x,y,z]. | |
| Aug 31, 2010 at 15:56 | answer | added | Richard Montgomery | timeline score: 4 | |
| Aug 31, 2010 at 10:06 | answer | added | Sheikraisinrollbank | timeline score: 7 | |
| Aug 31, 2010 at 9:04 | answer | added | Dan Petersen | timeline score: 14 | |
| Aug 31, 2010 at 8:24 | history | asked | Jesus Martinez Garcia | CC BY-SA 2.5 |