The pro-p Hom-form of the birational anabelian conjecture
classification
🧮 math.AG
keywords
anabelianbirationalconjecturefieldshom-formpro-adiccase
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We prove a pro-$p$ Hom-form of the birational anabelian conjecture for function fields over sub-$p$-adic fields. Our starting point is the Theorem of Mochizuki in the case of transcendence degree 1.
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