Tag Archives: arakelov

Claimed proof of the ABC conjecture

A paper by Yuhan Zha, posted on the arXiv yesterday under the unassuming title “A height inequality,” claims to prove the ABC conjecture via a notion of “quasi-arithmetic differential,” some kind of Arakelov-theoretic gadget which apparently allows you to mimic complex differential geometry well enough to imitate the proof of the function field case. Zha was a Ph.D. student of Fulton and a Harvard postdoc, so this presumably merits serious consideration. Has anybody out there given this a real read yet?

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