trailMochizuki's IUT papers establish the existence of distinct arithmetic holomorphic structures.
The distinctions IUT draws between isomorphic copies of objects carry essential mathematical content.
Distinctness through the ring-incompatible Θ-link· for
In IUT, "distinct arithmetic holomorphic structures" means ring structures related by a non-ring-theoretic link, not non-isomorphic structures.
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The Θ-link of inter-universal Teichmüller theory is not compatible with the ring structures of the Hodge theaters it relates.
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Isomorphic copies without an intrinsic distinction· against
The Hodge theaters on the two sides of IUT's Θ-link are isomorphic as abstract mathematical objects.
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Mochizuki's IUT papers give no definition of arithmetic holomorphic structure precise enough to prove that two such structures differ.
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Mochizuki's IUT papers establish the existence of distinct arithmetic holomorphic structures.
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1depended on by
this rests on ↓
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