Timeline for $2$-dimensional complete local normal domain with rational singularity that has exactly one exceptional curve
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Nov 18, 2021 at 7:26 | comment | added | Francesco Polizzi | Yes, the weighted resolution graph. | |
| Nov 17, 2021 at 23:53 | vote | accept | Snake Eyes | ||
| Nov 17, 2021 at 23:52 | comment | added | Snake Eyes | Right sorry, I misunderstood that point. But here's another question: By uniquely characterized by "resolution graph", do we mean the resolution graph with the correct weight of self-intersection number at each vertex? | |
| Nov 17, 2021 at 6:53 | comment | added | Francesco Polizzi | I am not assuming a priori that $R$ is a quotient singularity, but only that it is a rational normal singularity. Brieskorn's tautness result applies to this situation and implies that, if the resolution graph of $R$ is the same as the graph of a quotient singularity, then $R$ is actually a quotient singularity. See also the definition at p. 349 of the linked paper. | |
| Nov 17, 2021 at 6:20 | comment | added | Snake Eyes | Sorry, but I am not sure why $R$ even has to be a quotient singularity to begin with? Could you please explain this point? Thanks | |
| Nov 16, 2021 at 10:34 | history | edited | Francesco Polizzi | CC BY-SA 4.0 |
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| Nov 16, 2021 at 10:12 | history | edited | Francesco Polizzi | CC BY-SA 4.0 |
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| Nov 16, 2021 at 10:06 | history | answered | Francesco Polizzi | CC BY-SA 4.0 |