Anabelian geometry with etale homotopy types

作者:Schmidt Alexander*; Stix Jakob
来源:Annals of Mathematics, 2016, 184(3): 817-868.
DOI:10.4007/annals.2016.184.3.5

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