Timeline for Punctual Hilbert Schemes
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Apr 26, 2013 at 12:27 | comment | added | Mohan | Here is an example, I am ashamed to say have forgotten due to whom. Take $f=x^2y^2+x^5+y^5$ in two variable power series. Take the quotient by the ideal $(f_x,f_y)$ (the partial derivatives). By Briancon-Skoda, $f^2$ belongs to this ideal. In this case $f$ does not and since $df=0$ in the module of differentials we have such an example. | |
| Apr 25, 2013 at 22:13 | comment | added | Jack Huizenga | Can you give an example of a special ring for which this fails? (Even in the dimension 2 case might be useful to see what goes wrong) | |
| Apr 25, 2013 at 18:52 | history | asked | Mohan | CC BY-SA 3.0 |