9 citations · 11 across the 5 of their papers we have counts for
13 papers · 1 filter
A Torelli theorem for curves over finite fields
Fedor Bogomolov, Mikhail Korotiaev, Yuri Tschinkel
We study hyperbolic curves and their Jacobians over finite fields in the context of anabelian geometry.
Curves in abelian varieties over finite fields
Fedor Bogomolov, Yuri Tschinkel
We study the distribution of algebraic points on curves in abelian varieties over finite fields.
Special elliptic fibrations
Fedor Bogomolov, Yuri Tschinkel
We construct examples of elliptic fibrations of orbifold general type (in the sense of Campana) which have no etale covers dominating a variety of general type.
Reconstruction of function fields
Fedor Bogomolov, Yuri Tschinkel
We study the structure of abelian subgroups of Galois groups of function fields of surfaces.
Rationality of moduli of elliptic fibrations with fixed monodromy
Fedor Bogomolov, Tihomir Petrov, Yuri Tschinkel
We prove rationality results for moduli spaces of elliptic K3 surfaces and elliptic rational surfaces with fixed monodromy groups.
Unramified correspondences
Fedor Bogomolov, Yuri Tschinkel
We study correspondences between algebraic curves defined over the separable closure of $\Q$ or $\F_p$.