摘要
Anabelian geometry with etale homotopy types generalizes in a natural way classical anabelian geometry with (tale fundamental groups. We show that, both in the classical and the generalized sense, any point of a smooth variety over a field k that is finitely generated over Q has a fundamental system of (affine) anabelian Zariski-neighborhoods. This was predicted by Grothendieck in his letter to Faltings.
- 出版日期2016-11