Timeline for How to determine the singlarity type (up to local analytic isomorphism) of a hypersurface surface singularity
Current License: CC BY-SA 4.0
5 events
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| Apr 3, 2023 at 18:10 | comment | added | abx | You are right of course, sorry for the typo. | |
| Apr 3, 2023 at 16:09 | comment | added | xin fu | Thanks @abx. The reference is helpful. Also I guess you mean $z_i(1+z_i)^\frac{1}{3}$. For this example, I tried formal power sereis solution and don't know how to show the convergence. It turns out it is easy here. Thanks a lot. | |
| Apr 3, 2023 at 8:57 | comment | added | abx | In your example the answer is clearly yes: just put $y_i=z_i(1+z_i^3)^{1/2}$. | |
| Apr 3, 2023 at 5:35 | comment | added | abx | This is discussed at length in chap. 6 of Singularities of Differentiable Maps by Arnold, Gusein-Zade, Varchenko. In particular Tougeron's theorem on finite determinacy is relevant. | |
| Apr 3, 2023 at 3:01 | history | asked | xin fu | CC BY-SA 4.0 |