# The Statement of Mochizuki's Corollary 3.12, Initial Theta Data, and the First Two Indeterminacies

@article{Dupuy2020TheSO, title={The Statement of Mochizuki's Corollary 3.12, Initial Theta Data, and the First Two Indeterminacies}, author={T. Dupuy and Anton Hilado}, journal={arXiv: Number Theory}, year={2020} }

This paper does not give a proof of Mochizuki's Corollary 3.12. It is the first in a series of three papers concerning Mochizuki's Inequalities. The present paper concerns the setup of Corollary 3.12 and the first two indeterminacies, the second \cite{Dupuy2020c} concerns log-Kummer correspondences and ind3, and the third \cite{Dupuy2020b} concerns applications to Diophantine inequalities (in the style of IUT4). These manuscripts are designed to provide enough definitions and background to give… CONTINUE READING

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