Timeline for Singularities of pairs
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
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| Oct 14, 2010 at 14:55 | comment | added | Gianni Bello | Ok. I choosed your answer as the best one because it contains many interesting hints. Anyway I found all the answers very interesting. Thank you very much to everyone. | |
| Oct 14, 2010 at 14:51 | vote | accept | Gianni Bello | ||
| Oct 14, 2010 at 14:27 | comment | added | Karl Schwede | Yes, that's what I have in mind, but in the one dimensional case, this is just adjunction / inversion of adjunction. | |
| Oct 14, 2010 at 9:06 | comment | added | Gianni Bello | When you speak about LC center in the general case and you say that the pair $(W,correction term)$ inherits some properties of $(X,D)$ are you thinking to subadjunction? For example to the very recent Fujino-Gongyo paper? Or do you have other issues in mind? | |
| Oct 14, 2010 at 4:03 | comment | added | Sándor Kovács | @Karl: yes, the cone example is resolved to an snc pair with one blow up. | |
| Oct 14, 2010 at 1:59 | history | edited | Karl Schwede | CC BY-SA 2.5 |
Updated this in response to some comments.
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| Oct 14, 2010 at 1:53 | comment | added | Karl Schwede | Krampusz, from the point of view of this question, that's a very good point. The SNC pair (with coefficients $\leq 1$) is DLT and so doesn't distinguish the two notions at all. The pair you described does, as would $(\mathbb{A}^3, V(x^3+y^3+z^3))$. But I always thought SNC pairs (with coefficients $\leq 1$) were the typical LC pairs (at least the first example that one runs into) due to resolution of singularities. Of course, they are also DLT pairs. The quadric cone example turns into a SNC example (all divisors with coefficient 1) after blowing up the origin, right? | |
| Oct 13, 2010 at 18:48 | comment | added | Sándor Kovács | Your "archetypical LC pair" is actually snc. Perhaps a better example is the pair of a quadric cone with two rays intersecting in the vertex. | |
| Oct 13, 2010 at 18:21 | history | edited | Karl Schwede | CC BY-SA 2.5 |
added 371 characters in body
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| Oct 13, 2010 at 18:15 | history | answered | Karl Schwede | CC BY-SA 2.5 |