69 citations · 615 across the 125 of their papers we have counts for
7 papers · 1 filter
Noether's problem and descent
Fedor Bogomolov, Yuri Tschinkel
We study Noether's problem from the perspective of torsors under linear algebraic groups and descent.
Stable rationality of Brauer-Severi surface bundles
Andrew Kresch, Yuri Tschinkel
For sufficiently ample linear systems on rational surfaces we show that a very general associated Brauer-Severi surface bundle is not stably rational.
Homomorphisms of multiplicative groups of fields preserving algebraic dependence
Fedor Bogomolov, Marat Rovinsky, Yuri Tschinkel
We study homomorphisms of multiplicative groups of fields preserving algebraic dependence and show that such homomorphisms give rise to valuations.
Models of Brauer-Severi surface bundles
Andrew Kresch, Yuri Tschinkel
We study Brauer-Severi surface bundles over smooth projective varieties via root stacks, with a view towards applications to failure of stable rationality.
Specialization of birational types
Maxim Kontsevich, Yuri Tschinkel
We introduce a simplified version of the Grothendieck group of algebraic varieties and use it to show that birational types specialize in families with mild singularities of the ce…
Torsion of elliptic curves and unlikely intersections
Fedor Bogomolov, Hang Fu, Yuri Tschinkel
We study effective versions of unlikely intersections of images of torsion points of elliptic curves on the projective line.
Intersections of three quadrics in
Brendan Hassett, Alena Pirutka, Yuri Tschinkel
We study rationality properties of smooth complete intersections of three quadrics in . We exhibit a smooth family of such intersections with both rational and non-ra…