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2 votes

Vojta's conjecture on the bounded degree algebraic points over projective line?

Vojta's general statement (the "conjectured refinement of Roth's theorem", analogous to the second main theorem in Nevanlinna theory) is: Let $X$ be a smooth complete variety over $k$, let $D$ be a n …
Myshkin's user avatar
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27 votes
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Why is there a $\sqrt{5}$ in Hurwitz's Theorem?

As Terry mentions in the comments, the reason for the $\sqrt{5}$ is that the limiting case, the golden ratio, forces it. There is a very neat explanation of all of this in the classic number theory bo …
Myshkin's user avatar
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