Timeline for question about tensor of two fields
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Jun 30, 2010 at 7:35 | comment | added | Georges Elencwajg | Dear Victor, thank you for the correction: you are absolutely right, of course. Incidentally, I am quite moved by people who, as you just did, acknowledge their previous misconceptions. I think this honesty is worth infinitely more than any knowledge of the strange behaviour of fields. | |
| Jun 30, 2010 at 2:21 | comment | added | Victor Protsak | Dear Georges, I took the liberty of changing max to min: if $H=k$ then $L\otimes_k H\simeq L$ is a field, so it has Krull dimension 0, and similarly for $H/k$ algebraic (unless there is an error in the erratum, EGA confirms max). Also, huge +++ for "Grothendieck's best hidden result"! In my ignorance, I $\textit{falsely believed}$ (cf mathoverflow.net/questions/23478/…) that the tensor product of fields always has Krull dimension 0, which falls apart immediately upon inspection. | |
| Jun 30, 2010 at 2:18 | history | edited | Victor Protsak | CC BY-SA 2.5 |
max --> min, operatorname
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| Jun 29, 2010 at 20:47 | history | answered | Georges Elencwajg | CC BY-SA 2.5 |