Timeline for Probing the generalization of the abc conjecture to more than 3 variables
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 3, 2014 at 7:39 | vote | accept | Greg Martin | ||
| Sep 3, 2014 at 7:39 | |||||
| Aug 29, 2014 at 4:09 | comment | added | Felipe Voloch | I thought the argument would be in his book, but there he only does $n=3$, i.e., the abc conjecture. The general argument is the same. He does need the more general conjecture with the ramification term by passing to $\sum x_i^m=0$ with the algebraic point $x_i = a_i^{1/m}$ and letting $m \to \infty$. | |
| Aug 29, 2014 at 3:49 | comment | added | Greg Martin | Thanks Felipe! Can you provide a reference to a version of Vojta's conjecture (presumably one where we ignore multiplicity in the local heights) that implies a $1+\epsilon$ version of $n$-tuple $abc$? or better yet, somewhere in the literature where this implication has been recorded? | |
| Aug 29, 2014 at 1:56 | history | answered | Felipe Voloch | CC BY-SA 3.0 |