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Jan 3, 2013 at 15:08 comment added Lee sangcheol @Mahdi Majidi-Zolbanin 1)I need each case equality holds. 2) example for strictly greater Thanks.
Jan 2, 2013 at 15:55 comment added Mahdi Majidi-Zolbanin 1) Your question needs an edit: you need $\sqrt{(x_1,\ldots,x_r)}=\sqrt{I}$, but for some reason this is not showing in your question properly. 2) You want which equality to hold? Do you want all three quantities (dimension, cohomological dimension and arithmetic rank) to be equal? Or do you want dimension and arithmetic rank to be equal? Or do you want dimension to be equal to cohomological dimension? etc.
Dec 27, 2012 at 15:49 history edited Mahdi Majidi-Zolbanin
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Dec 27, 2012 at 15:42 history asked Lee sangcheol CC BY-SA 3.0