| Abstract: Anabelian geometry as an attempt to
describe geometry in terms of étale topological data has
addressed so far mainly categories of varieties over a
field. In this paper we work over a normal base scheme 𝑆 of
finite type over a sub-𝑝-adic field and show that families
of hyperbolic curves over 𝑆 are anabelian among smooth 𝑆-schemes with respect to dominant morphisms. |
pdf-file: anabelian geometry
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