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Timeline for Higher dimensional nodes

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Dec 16, 2010 at 15:59 comment added roy smith Since Karl has observed nicely that analogies differ depending on what properties you want to be shared, this choice, the "ordinary double point", or odp, shares with a node the Milnor number being one. This singularity has no deformations except for smoothings. I.e. it cannot be changed locally except by being removed. On the "discriminant locus" parametrizing those hypersurfaces in a family which are singular, the points corresponding to hypersurfaces with an odp are (in good cases) the smooth points of the discriminant. Hence odp's are generic singularities in the sense of deformations.
Sep 14, 2010 at 17:13 vote accept doktorkrampus
Sep 14, 2010 at 11:07 history edited quim CC BY-SA 2.5
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Sep 14, 2010 at 9:59 history answered quim CC BY-SA 2.5