Timeline for Best strategy for small resolutions
Current License: CC BY-SA 3.0
10 events
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| Oct 25, 2012 at 23:30 | history | edited | Sándor Kovács | CC BY-SA 3.0 |
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| Jun 15, 2012 at 16:14 | comment | added | roy smith | In relation to this criterion and the codimension of singularities, it seems that Grothendieck's proof of Samuel's conjecture implies that at least for complete intersections X, in order for a small morphism to exist, the singular locus of X should not be of codimension > 3. (Otherwise X is locally factorial.) I.e. if X is a c.i. fourfold with isolated singularities, no small morphism exists. As example, the abel map is a non trivial small resolution of the (non factorial) theta divisor of a non hyperelliptic curve with g = 4,5. | |
| Nov 25, 2010 at 2:07 | history | edited | Sándor Kovács | CC BY-SA 2.5 |
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| Nov 25, 2010 at 1:59 | history | edited | Sándor Kovács | CC BY-SA 2.5 |
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| Nov 19, 2010 at 21:53 | vote | accept | JME | ||
| Nov 16, 2010 at 23:13 | comment | added | JME | Thanks Sandor, that was very useful. I think the criterion you explain is what some people call "Van der Waerden purity". | |
| Nov 12, 2010 at 21:32 | history | edited | Sándor Kovács | CC BY-SA 2.5 |
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| Nov 8, 2010 at 0:41 | history | edited | Sándor Kovács | CC BY-SA 2.5 |
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| Nov 7, 2010 at 22:27 | history | edited | Sándor Kovács | CC BY-SA 2.5 |
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| Nov 7, 2010 at 18:46 | history | answered | Sándor Kovács | CC BY-SA 2.5 |