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Dec 12, 2011 at 10:08 comment added Martin Bright I don't know. As soon as you move to three quadrics, the singular ones in the family are cut out by a plane curve rather than a few points, which sounds distinctly more complicated. As the comments above point out, it might be unreasonable to expect a very general answer.
Dec 9, 2011 at 15:45 comment added Fei YE Hey Martin, Thanks! Miles Reid's result is quite interesting. Do you know that is there a way to generalize it to more quadrics?
Dec 9, 2011 at 8:01 history answered Martin Bright CC BY-SA 3.0