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Jun 9, 2020 at 18:13 comment added Asvin I am not entirely sure what I am looking for either but your links seem to be along the right lines! Thank you!
Jun 9, 2020 at 17:04 comment added Jackson Morrow I am not entirely sure what you are looking for but a powerful tool in arithmetic hyperbolicity is Diophantine approximation and Nevanlinna theory. Vojta has some nice notes about (math.berkeley.edu/~vojta/cime/cime.pdf). Another useful theorem which is used in Diophantine approximation is the Schmidt Subspace Theorem. Yuri Bilu has a wonderful Bourbaki survey about this theorem and its applications (numdam.org/article/AST_2008__317__1_0.pdf). Finally, Ariyan Javanpeykar has a nice survey about hyperbolicity (arxiv.org/pdf/2002.11981.pdf). Hope this is helpful!
Jun 9, 2020 at 16:48 history asked Asvin CC BY-SA 4.0