On Mochizuki's corollary 3.12 and Szpiro's conjecture:
Taylor Dupuy, Anton Hilado, Probabilistic Szpiro, Baby Szpiro, and Explicit Szpiro from Mochizuki’s Corollary 3.12 [arxiv:2004.13108]
Taylor Dupuy, Anton Hilado, The Statement of Mochizuki’s Corollary 3.12, Initial Theta Data, and the First Two Indeterminacies [arxiv:2004.13228]
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