2 citations · 6 across the 12 of their papers we have counts for
4 papers · 1 filter
Non-expansion in polynomial automorphisms of
Martin Bays, Tingxiang Zou
We treat the higher-dimensional Elekes-Szabó problem in the case of the action of Aut(C^2) on C^2.
A group-action Szemerédi-Trotter theorem and applications to orchard problems in all characteristics
Yifan Jing, Tingxiang Zou
We establish a group-action version of the Szemerédi-Trotter theorem over any field, extending Bourgain's result for the group . As an Elekes-Szabó-type applicati…
An asymmetric version of Elekes-Szabó via group actions
Martin Bays, Tingxiang Zou
We consider when finite families of bounded degree polynomials, or more generally of bounded complexity finite-to-finite correspondences on …
Elekes-Szabó for groups, and approximate subgroups in weak general position
Martin Bays, Jan Dobrowolski, Tingxiang Zou
We show that with a suitable weak notion of general position, the Elekes-Szabó condition on the group operation of a connected complex algebraic group characterises nilpotence of t…