Timeline for Is there a notion of 'local ample/Kähler cone' for resolved singularities?
Current License: CC BY-SA 3.0
12 events
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| Aug 28, 2013 at 11:38 | history | edited | Karl Schwede | CC BY-SA 3.0 |
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| Jul 13, 2012 at 9:49 | comment | added | Rhys Davies | Thank-you again, that's very clear now. I have some thinking to do, because of the conflicting examples I thought I had... | |
| Jul 13, 2012 at 9:44 | vote | accept | Rhys Davies | ||
| Jul 12, 2012 at 21:13 | history | edited | Karl Schwede | CC BY-SA 3.0 |
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| Jul 12, 2012 at 16:59 | comment | added | Karl Schwede | Dear Rhys Davies, I added some explanation. Let me know what you think. | |
| Jul 12, 2012 at 16:58 | history | edited | Karl Schwede | CC BY-SA 3.0 |
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| Jul 12, 2012 at 9:41 | comment | added | Rhys Davies | Thank-you for your answer, Karl. It has at least helped me to clarify my problem, but I'm not quite there yet! "...every divisor through $x$ on $X$ is going to be linearly equivalent to a divisor not passing through $x$" is exactly what I meant. I'm afraid I can't see why that is equivalent to factoriality though (sorry if I'm being dense; I'm a little out of my depth here). If $x$ is the only singular point, doesn't factoriality depend only on $\mathcal{O}_{X,x}$? I think I have examples of the same singularity in different threefolds, once with the conditions satisfied, and once not. | |
| Jul 12, 2012 at 0:36 | history | edited | Karl Schwede | CC BY-SA 3.0 |
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| Jul 11, 2012 at 16:24 | history | edited | Karl Schwede | CC BY-SA 3.0 |
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| Jul 11, 2012 at 16:17 | history | edited | Karl Schwede | CC BY-SA 3.0 |
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| Jul 11, 2012 at 14:28 | history | edited | Karl Schwede | CC BY-SA 3.0 |
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| Jul 11, 2012 at 12:48 | history | answered | Karl Schwede | CC BY-SA 3.0 |