Timeline for What does it mean geometrically that an element in a domain is irreducible?
Current License: CC BY-SA 3.0
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| May 6, 2011 at 16:20 | history | edited | Sándor Kovács | CC BY-SA 3.0 |
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| May 6, 2011 at 16:19 | comment | added | Sándor Kovács | Dear Georges, when I wrote "you" I did not mean "you personally", I meant "one" indefinitely. Also, I don't think it is inherently wrong to use that terminology, but one has to keep in mind that over non-algebraically closed fields "non-singular" and "smooth" are not synonyms. | |
| May 6, 2011 at 12:16 | comment | added | Georges Elencwajg | Dear Sándor, thank you for your interesting and insightful comments. Be assured that I would certainly never call non-singular a curve "all of whose singular points are not (individually) visible over $\mathbb R$" ( I suppose you mean something like like $y^2+(x^2+1)^2=0$ ?). It is unfortunately definitely possible that, as you say, there is no good geometric interpretation of irreducibility, but perhaps (my secret wish !) you, or someone else, will find one and pleasantly surprise me with it.. | |
| May 6, 2011 at 10:16 | history | answered | Sándor Kovács | CC BY-SA 3.0 |