Timeline for Did Bourbaki write a text on algebraic geometry?
Current License: CC BY-SA 3.0
9 events
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Jun 6, 2017 at 7:59 | comment | added | Mikhail Katz | Georges, I have a vague memory of seeing a reference to such a text in I think one of Adrian Mathias's articles on the Bourbaki but I can't quite place it. If you come across it please let me know. | |
Jun 5, 2017 at 18:24 | comment | added | Georges Elencwajg | @Mikhail: Bourbaki used to ask his members to write preliminary reports/drafts on many subjects and I guess Samuel's text was a very preliminary such draft. From what I understand these drafts went through many stages before being eventually incorporated in the official "Éléments de Mathématique". Many books however (like Godement's "Théorie des faisceaux" or Lang's "Rapport sur la cohomologie des groupes" ) originated from drafts that had not been so incorporated. The only place I know where Samuel's text is evoked is in Grothendieck's letter to Serre mentioned in the Edit to my answer. | |
Jun 5, 2017 at 16:23 | comment | added | Mikhail Katz | Georges, thanks. With regard to this text by Samuel, did I understand you correctly that the text was proposed to Bourbaki but not published? Is this text by Samuel mentioned in any publication and/or its history discussed? | |
Jun 1, 2017 at 17:25 | comment | added | Georges Elencwajg | Dear @Mikhail, Grothendieck did not try to publish his vision of algebraic geometry in the Bourbaki series "Éléments de Mathématique" because it would have taken several thousands of pages. However he published several surveys in the "Séminaire Bourbaki", most notably the one pertaining to the construction of the Hilbert schemes: see here. | |
Jun 1, 2017 at 8:18 | comment | added | Mikhail Katz | Georges, thanks for an interesting post. Did Grothendieck try to publish his vision of algebraic geometry in the context of the Bourbaki oeuvre? Is there a discussion of this in the literature? | |
May 29, 2016 at 20:08 | history | edited | Georges Elencwajg | CC BY-SA 3.0 |
Changed my mistaken date for Grothendieck's letter
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May 27, 2016 at 0:04 | history | edited | Georges Elencwajg | CC BY-SA 3.0 |
added 41 characters in body
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May 26, 2016 at 23:18 | history | edited | Georges Elencwajg | CC BY-SA 3.0 |
Added reference to a letter from Grothendieck to Serre
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Mar 20, 2015 at 9:06 | history | answered | Georges Elencwajg | CC BY-SA 3.0 |