Timeline for Does an essential resolution of 2-dimensional hypersurface singularity preserves
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 4, 2013 at 11:24 | comment | added | tarosano | Just for safety, maybe the discrepancy of the $-1$-curve is $-1$. | |
| Jan 16, 2012 at 0:58 | comment | added | CYXU | I see. You are right. We also need to consider the curves of discrepancy 0 which doesn't necessarily appear in the minimal resolution of the surface itself. | |
| Jan 14, 2012 at 18:04 | comment | added | tarosano | Thank you for the comment. I think that every normal surface singularity $D$ has a log resolution such that each discrepancy is non-positive. It is called an essential resolution, e.g. in Ishii's paper. Actually, if I blow up the node of the nodal curve in your example, the coefficient of the $-1$-curve is 0. | |
| Jan 14, 2012 at 0:57 | history | answered | CYXU | CC BY-SA 3.0 |