A Hom-form of the Pro-p Birational Anabelian Conjecture
نویسندگان
چکیده
Before embarking on the proof, we first explain Theorem 1 in a bit more detail, in particular identifying the two categories that are relevant to our discussion. So let Gk denote the category whose objects are profinite group extensions of Gk by a pro-p group, and whose morphisms are outer open Gkhomomorphisms. Thus, an object of Gk is a profinite group G together with a continuous surjection πG : G ։ Gk with kernel a pro-p group. A morphism from G to H in Gk is of the form InnGk(H) ◦ f , where f : G → H is an open homomorphism such that πG = πH ◦f , and InnGk(H) denotes the group of inner
منابع مشابه
Pro-p hom-form of the birational anabelian conjecture over sub-p-adic fields
We prove a Hom-form of the pro-p birational anabelian conjecture for function fields over sub-p-adic fields. Our starting point is the corresponding Theorem of Mochizuki in the case of transcendence degree 1.
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