Timeline for Examples of plane algebraic curves
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 12, 2020 at 21:40 | comment | added | Georg Essl | Ah yes, I'm sorry. Holditch already proved his caustic to be rational. This is not an example. There is another reason why I thought this might be applicable (from someone who is interested in separable PDEs). The Holditch caustic relates to separability in polar coordinates (it describes the singularities of the characteristic cone under reflection of a linear hyperbolic PDE and the separated ODE of interest being Bessel). The Lame ODE springs from separation of ellipsoidal coordinates. But this probably is way too loose an association to be of interest. | |
| Jun 12, 2020 at 19:30 | comment | added | Alexandre Eremenko | Has anyone found the genus of this caustic ? From the abstract of your last reference I conclude that it is a rational curve for the case of circle. So it does not satisfy one of my criteria. | |
| Jun 12, 2020 at 16:49 | history | edited | Georg Essl | CC BY-SA 4.0 |
Improved wording. Added missing year to reference.
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| Jun 12, 2020 at 16:42 | history | answered | Georg Essl | CC BY-SA 4.0 |