English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Our main goal in the present article is to explain how one can reconstructthe decomposition subgroups and norms of points on an arithmetic curve insideits fundamental group if the following data are given: the fundamental group, apart of the cyclotomic character and the family of the regulators of the fieldscorresponding to the generic points of all \'{e}tale covers of the given curve.The approach is inspired by that of Tamagawa for curves over finite fields butuses Tsfasman-Vl\u{a}du\c{t} theorem instead of Lefschetz trace formula. To theauthors' knowledge, this is a new technique in the anabelian geometry ofarithmetic curves. It is conditional and depends on still unknown properties ofarithmetic fundamental groups. We also give a new approach via Iwasawa theoryto the local correspondence at the boundary.

Reconstructing decomposition subgroups in arithmetic fundamental groups using regulators