[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 50 (1002ﾚｽ)
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334(1): 2020/04/17(金)18:16 ID:ZQ+rFSeZ(1) AAS
Anabelian geometry with étale homotopy
types

ALEXANDER SCHMIDT AND
JAKOB STIX

Abstract ― Anabelian geometry with
étale homotopy types generalizes
in a natural way classical anabelian
geometry with étale fundamental groups.
We show that, both in the
classical and the generalized sense,
any point of a smooth variety over
a field k which is finitely generated over
Q has a fundamental system of (affine)
anabelian Zariski-neighbourhoods.
This was predicted by Grothendieck
in his letter to Faltings

外部ﾘﾝｸ[pdf]:arxiv.org

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