Timeline for Statements reliant on conjectures
Current License: CC BY-SA 2.5
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Dec 25, 2015 at 1:12 | comment | added | Joe Silverman | Or even the Bombieri-Lang conjecture which says that if $K$ is a number field and $X/K$ is a variety of general type, then $X(K)$ is not Zariski dense in $K$. This is the special case of Vojta's conjecture (formulated earlier) applied to a variety of general type. Among it's numerous consequences is that among all curves $C/K$ of a fixed genus, there is an upper bound for $\#C(K)$ that is independent of $C$. (Due to Caparaso-Mazur-Harris.) | |
Jun 20, 2010 at 7:18 | history | answered | Arturo Magidin | CC BY-SA 2.5 |