Timeline for Injective morphism from curves to $\mathbb CP^2$
Current License: CC BY-SA 3.0
13 events
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| Mar 14, 2013 at 12:21 | comment | added | Vivek Shende | Having asked around a bit, I also think it's open. The fact that hyperelliptic curves inject, but not with bounded multiplicity, suggests that giving an answer of 'yes' to your original question requires a subtler analysis that sees the difference between 2g and 3g which sounds discouraging. I haven't given up yet though! | |
| Mar 13, 2013 at 21:39 | comment | added | aglearner | Vivek, huge thanks for this update! Now I am completely convinced in your statement. Your answer is really nice (the only reason I have not yet accepted it is that it seems to me now that the original question is an open problem...) | |
| Mar 13, 2013 at 21:05 | history | edited | Vivek Shende | CC BY-SA 3.0 |
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| Mar 13, 2013 at 10:17 | history | edited | Vivek Shende | CC BY-SA 3.0 |
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| Mar 13, 2013 at 10:06 | history | edited | Vivek Shende | CC BY-SA 3.0 |
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| Mar 13, 2013 at 9:48 | history | edited | Vivek Shende | CC BY-SA 3.0 |
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| Feb 26, 2013 at 23:10 | comment | added | Vivek Shende | I'll try and write about the deformation theory when I'm less lazy (& assuming no-one puts a proof of the whole thing...) | |
| Feb 26, 2013 at 9:48 | comment | added | aglearner | Vivek, thanks a lot! It will take me time to absorb your proof. | |
| Feb 26, 2013 at 8:37 | history | edited | Vivek Shende | CC BY-SA 3.0 |
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| Feb 26, 2013 at 8:31 | history | edited | Vivek Shende | CC BY-SA 3.0 |
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| Feb 26, 2013 at 8:20 | history | edited | Vivek Shende | CC BY-SA 3.0 |
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| Feb 26, 2013 at 8:11 | history | edited | Vivek Shende | CC BY-SA 3.0 |
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| Feb 26, 2013 at 8:04 | history | answered | Vivek Shende | CC BY-SA 3.0 |