Timeline for Flat family of Hilbert scheme of points
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jul 1, 2014 at 17:29 | comment | added | Jason Starr | The reference for the Douady spaces is the following. MR0203082 (34 #2940) Reviewed. Douady, Adrien. Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné. (French) Ann. Inst. Fourier (Grenoble) 16 1966 fasc. 1, 1–95. 32.47 (57.70) | |
| Jul 1, 2014 at 17:25 | comment | added | Jason Starr | The reference in the algebraic case is Chapitre IV of the following. MR0146040 (26 #3566) Reviewed. Grothendieck, Alexander. Fondements de la géométrie algébrique. [Extraits du Séminaire Bourbaki, 1957–1962.] (French) Secrétariat mathématique, Paris 1962 ii+205 pp. 14.00 | |
| Jul 1, 2014 at 17:21 | comment | added | Julio Amado | also, what do you mean with "relative setting"? | |
| Jul 1, 2014 at 17:08 | comment | added | Julio Amado | can you give me a reference for both cases? | |
| Jul 1, 2014 at 17:03 | comment | added | Jason Starr | Is your family algebraic? If so, this follows from Grothendieck's original construction of the Hilbert scheme -- which was in the relative setting. If your family is Kaehlerian, but not necessarily algebraic, you should look up "Douady spaces". | |
| Jul 1, 2014 at 16:44 | history | asked | Julio Amado | CC BY-SA 3.0 |