• Corpus ID: 243860921

Construction of Arithmetic Teichmuller spaces II: Towards Diophantine Estimates

  title={Construction of Arithmetic Teichmuller spaces II: Towards Diophantine Estimates},
  author={Kirti Joshi},
This paper deals with three consequences of the existence of Arithmetic Teichmuller spaces of arXiv:2106.11452. Let $\mathscr{X}_{F,\mathbb{Q}_p}$ (resp. $B=B_{\mathbb{Q}_p}$) be the complete Fargues-Fontaine curve (resp. the ring) constructed by Fargues-Fontaine with the datum $F={\mathbb{C}_p^\flat}$ (the tilt of $\mathbb{C}_p$), $E=\mathbb{Q}_p$. Fix an odd prime $\ell$, let $\ell^*=\frac{\ell-1}{2}$. The construction (\S 7) of an uncountable subset $\Sigma_{F}\subset \mathscr{X}_{F,\mathbb… 



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