Timeline for Did Grothendieck introduce vertical arrows that denote morphisms?
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
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| Nov 1, 2011 at 15:35 | vote | accept | Georges Elencwajg | ||
| Nov 1, 2011 at 9:16 | comment | added | Georges Elencwajg | @Ryan Budney. Grothendieck drew vertical arrows on blackboards because he felt it emphasised the fiberish nature of all scheme morphisms. But in the written accounts the arrows were typeset horizontally, precisely because of typographically difficulties.So I happen to disagree with you. What saddens me, however, is the deliberately insulting comparison of Grothendieck's credo with talk "about what kind of footwear X wears". MathOverflow is a place where we can benefit from the expertise of competent mathematicians, like you, in gentle, friendly exchanges and I hope it remains so. | |
| Nov 1, 2011 at 3:37 | comment | added | Ryan Budney | This question seems to be more about typesetting conventions than mathematics -- people following fashions. Next we'll be talking about what kind of footwear X wears, for whichever value of X is the trendy mathematician of the day. | |
| Nov 1, 2011 at 1:10 | comment | added | Joël | Nice question. But I think it is Ender Wiggin who introduced the vertical arrows. | |
| Nov 1, 2011 at 0:12 | comment | added | Moosbrugger | It also seems relevant to ask when phrases like "variety over $K$" (which naturally leads to "scheme $X$ over $S$" and the accompanying picture) started to be used. | |
| Oct 31, 2011 at 22:25 | history | edited | Otis Chodosh |
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| Oct 31, 2011 at 13:59 | answer | added | Francesco Polizzi | timeline score: 2 | |
| Oct 31, 2011 at 13:55 | answer | added | Chandan Singh Dalawat | timeline score: 10 | |
| Oct 31, 2011 at 13:38 | comment | added | Georges Elencwajg | Dear users, I find your comments very interesting. Will you allow me to put a little friendly pressure on you in order that you transform them into genuine answers? | |
| Oct 31, 2011 at 13:22 | answer | added | Boris Novikov | timeline score: 1 | |
| Oct 31, 2011 at 13:20 | comment | added | Francesco Polizzi | Vertical arrows already appear in Cartan-Eilenberg's book "Homological Algebra" (1956). I think they come naturally when one tries to prove some kind of lifting theorem | |
| Oct 31, 2011 at 13:14 | comment | added | Mariano Suárez-Álvarez | This ia a great opportunity to write to Serre and suggest he join MO :) | |
| Oct 31, 2011 at 13:13 | comment | added | Moosbrugger | Illusie says he thinks Grothendieck introduced the vertical arrow: math.uchicago.edu/~mitya/langlands/reminiscences1.pdf. | |
| Oct 31, 2011 at 13:07 | history | asked | Georges Elencwajg | CC BY-SA 3.0 |