Timeline for Smoothness of hyperplane sections
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 24, 2010 at 18:53 | vote | accept | David Hansen | ||
| Feb 28, 2010 at 5:17 | comment | added | Bjorn Poonen | Yes, for instance if X itself is a hyperplane. But for most X, one cannot improve the exponent in O(p^{n-1}). It depends on the dimension of the generic fiber of Z:=P^n-U, since all but finitely many fibers above primes will have the same dimension. Usually this dimension will be n-1. | |
| Feb 28, 2010 at 4:20 | comment | added | David Hansen | Thanks, Bjorn! Are there situations where the compliment of U has $O(p^{n-i})$ points for $i>1$? | |
| Feb 28, 2010 at 3:51 | history | answered | Bjorn Poonen | CC BY-SA 2.5 |