69 citations · 615 across the 125 of their papers we have counts for
5 papers · 1 filter
Multiple Mixing for adele groups and rational points
Alexander Gorodnik, Ramin Takloo-Bighash, Yuri Tschinkel
We prove an asymptotic formula for the number of rational points of bounded height on projective equivariant compactifications of $H\G$, where is a connected simple algebraic g…
Galois theory and projective geometry
Fedor Bogomolov, Yuri Tschinkel
We explore connections between birational anabelian geometry and abstract projective geometry. One of the applications is a proof of a version of the birational section conjecture.
Spaces of sections of quadric surface fibrations over curves
Brendan Hassett, Yuri Tschinkel
We consider quadric surface fibrations over curves, defined over algebraically closed and finite fields. Our goal is to understand, in geometric terms, spaces of sections for such…
Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups
Sho Tanimoto, Yuri Tschinkel
We apply the theory of height zeta functions to study the asymptotic distribution of rational points of bounded height on projective equivariant compactifications of semi-direct pr…
Integral points of bounded height on compactifications of semi-simple groups
Ramin Takloo-Bighash, Yuri Tschinkel
We study the asymptotic distribution of integral points of bounded height on partial bi-equivariant compactifications of semi-simple groups of adjoint type.