Timeline for Higher dimensional nodes
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
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| Feb 11, 2011 at 16:57 | history | edited | Karl Schwede |
added tag
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| Sep 14, 2010 at 17:13 | vote | accept | doktorkrampus | ||
| Sep 14, 2010 at 17:11 | answer | added | Karl Schwede | timeline score: 7 | |
| Sep 14, 2010 at 10:29 | comment | added | BCnrd | The definition given in the curve case is correct when $p$ is a $k$-rational point. In general, for a curve over a field, your "formal" description is imposed at a point over $p$ on $X_ {\overline{k}}$. With some hard work, it can be shown that this forces $k(p)$ to be a separable extension of $k$. In section 2 of Ch. III of the book "Etale Cohomology and the Weil Conjecture" by Freitag-Kiehl they give an elegant (albeit somewhat technical) discussion of ordinary double points in all relative dimensions, especially relating the "formal" definition to an etale-local definition. | |
| Sep 14, 2010 at 9:59 | answer | added | quim | timeline score: 4 | |
| Sep 14, 2010 at 8:10 | history | edited | doktorkrampus | CC BY-SA 2.5 |
Fixed typo.; added 4 characters in body
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| Sep 14, 2010 at 7:56 | history | asked | doktorkrampus | CC BY-SA 2.5 |