Timeline for Analogy between the nodal cubic curve $y^2=x^3+x^2$ and the ring $\mathbb{Z}[\sqrt{-3}]$?
Current License: CC BY-SA 3.0
5 events
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| Feb 16, 2014 at 0:52 | comment | added | R.P. | Yes, I agree with that (and with your parenthetical statement as well). This is the reason that I later inserted the hedge phrase "at least in this sense". :) | |
| Feb 16, 2014 at 0:50 | comment | added | David E Speyer | With a cusp, the preimage of the singular point is non-reduced. With a node, the preimage of the singular point is two points. Here it is neither, but rather an extension of the residue field. As I spell out further in my answer, I think neither one is a good comparison. (Although, if forced, I would say the node is closer.) | |
| Feb 16, 2014 at 0:37 | history | edited | R.P. | CC BY-SA 3.0 |
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| Feb 15, 2014 at 22:21 | history | edited | R.P. | CC BY-SA 3.0 |
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| Feb 15, 2014 at 22:00 | history | answered | R.P. | CC BY-SA 3.0 |