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20052026
most citedWeakly commensurable arithmetic groups, lengths of closed geodesics and isospectral locally symmetric spaces

102 citations · 115 across the 12 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math.NT2023★ 1 cited

Purely exponential parametrizations and their group-theoretic applications

Pietro Corvaja, Julian Demeio, Andrei Rapinchuk +2

This paper is mainly motivated by the analysis of the so-called Bounded Generation property (BG) of linear groups (in characteristic ), which is known to admit far-reaching grou…

math.NT2023

The finiteness of the Tate-Shafarevich group over function fields for algebraic tori defined over the base field

Andrei S. Rapinchuk, Igor A. Rapinchuk

Let be a field and be a set of rank one valuations of . The corresponding Tate-Shafarevich group of a -torus is $Sha(T , V) = \ker\left(H^1(K , T) \to \prod_{v \i…