Timeline for Higher dimensional nodes
Current License: CC BY-SA 2.5
4 events
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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 |
added 134 characters in body
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Sep 14, 2010 at 9:59 | history | answered | quim | CC BY-SA 2.5 |