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Feb 8, 2010 at 20:08 comment added Charles Siegel Perhaps. I don't know enough to say for certain.
Feb 8, 2010 at 19:05 vote accept kakaz
Feb 8, 2010 at 19:03 comment added kakaz I thought on case when moving from one curve to another in equivalence class gives for example change of variables in equation of motion or something like that - some kind of reparametrization which is not quite formal but also has some kind of "physical meaning".
Feb 8, 2010 at 17:30 comment added Charles Siegel Well, really what's going on is that you have families of elliptic curves. I'm not an expert, really, but isomorphic families give equivalent integrable systems, and I'm not sure about what notion of equivalent systems you're using (and even if I did, I'm not sure I'd be able to say much).
Feb 8, 2010 at 16:31 comment added kakaz If in low dimensional case, elliptic curves appear in this question, is it true that curves which are isomorphic arises in equivalent algebraic dynamical systems? Is this kind of homomorphism between structures?
Feb 8, 2010 at 15:33 history answered Charles Siegel CC BY-SA 2.5