Timeline for A versal deformation of a simple node
Current License: CC BY-SA 2.5
3 events
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| Sep 2, 2010 at 20:17 | comment | added | BCnrd | Read the largely self-contained (modulo some knowledge of the etale topology, and accepting Artin approx. as black box if not known already) section 2 of Chapter III (esp. 2.7 and 2.8) of the book "Etale cohomology and the Weil conjecture" by Freitag & Kiehl. That is a really nice discussion of the deformation theory of ordinary double points in any relative dimension over any noetherian base (though they don't use terminology such as "versal deformations", they do prove the central fact for the case of ordinary double points, in fact going far beyond the setting of an artinian base). | |
| Sep 2, 2010 at 19:49 | comment | added | Angelo | Your neighborhoods are Zariski neighborhoods? You should really use the étale topology, with the Zariski topology I don't think this is true. Also, your definition of "versal" is not the standard one, for very good reasons, even if you use the étale topology. I'll explain this tomorrow, if someone else does not do this first. You should read Mike Artin's "Lectures on deformations of singularities". | |
| Sep 2, 2010 at 18:20 | history | asked | Greg Muller | CC BY-SA 2.5 |