17 citations · 83 across the 29 of their papers we have counts for
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Reconstructing decomposition subgroups in arithmetic fundamental groups using regulators
Alexander Ivanov
Our main goal in the present article is to explain how one can reconstruct the decomposition subgroups and norms of points on an arithmetic curve inside its fundamental group if th…
On a generalization of the Neukirch-Uchida theorem
Alexander Ivanov
In this paper we generalize a part of Neukirch-Uchida theorem for number fields from the birational case to the case of curves $\Spec \caO_{K,S}$ with a stable set of primes of…
On some anabelian properties of arithmetic curves
Alexander Ivanov
In this paper we generalize an argument of Neukirch from birational anabelian geometry to the case of arithmetic curves. In contrast to the function field case, it seems to be more…
Densities of primes and realization of local extensions
Alexander Ivanov
In this paper we introduce new densities on the set of primes of a number field. If is a Galois extension of number fields, we associate to any element $x \in {\rm Gal}_{K/…
Stable sets of primes in number fields
Alexander Ivanov
We define a new class of sets -- stable sets -- of primes in number fields. For example, Chebotarev sets , with Galois and $σ\in \Gal(M/K)$, are very often stable…