Timeline for Intersection on Singular Varieties
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Mar 8, 2012 at 7:51 | vote | accept | Benjamin Schmidt | ||
| Mar 7, 2012 at 15:18 | comment | added | Sándor Kovács | I believe at the moment it is only known in char 0 (and actually even there only since a few years ago), but conjectured to hold in general. Several people currently work on extending the methods and tools to char p right now, but it's hard to tell when it will yield results. As far as $\mathbb Q$-factorialization vs ressolution is concerned, the first has the advantage that it is "smaller". If the singularities are not too bad, then it is a small morphism, meaning that there are no exceptional divisors and so pull-back and proper transform are the same and so it is clear what divisor to take. | |
| Mar 7, 2012 at 10:17 | comment | added | Benjamin Schmidt | Do you know if this process of $\mathbb{Q}$-factorialization only works in char $0$? I would be completely fine, if I could resolve to some $\mathbb{Q}$-factorial variety and do intersection there. The issue is that in char $0$ I could just take a resolution, but I want to extend my result to positive characteristic. | |
| Mar 6, 2012 at 20:23 | history | edited | Sándor Kovács | CC BY-SA 3.0 |
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| Mar 6, 2012 at 18:44 | history | edited | Sándor Kovács | CC BY-SA 3.0 |
added 257 characters in body
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| Mar 6, 2012 at 18:30 | history | answered | Sándor Kovács | CC BY-SA 3.0 |