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math.NT2019★ 1 cited
The Shafarevich conjecture and some extension theorems for proper hyperbolic polycurves
Ippei Nagamachi, Teppei Takamatsu
In this paper, we prove the Shafarevich conjecture for proper hyperbolic polycurves, which is a higher dimensional analogue of that for proper hyperbolic curves. First, we study th…
math.NT2019
Topics in the Grothendieck conjecture for hyperbolic polycurves of dimension 2
Ippei Nagamachi
In this paper, we study the anabelian geometry of hyperbolic polycurves of dimension 2 over sub-p-adic fields. In 1-dimensional case, Mochizuki proved the Hom version of the Grothe…