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math.CO2024
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…
math.CO2024
Brunn-Minkowski type estimates for certain discrete sumsets
Albert Lopez Bruch, Yifan Jing, Akshat Mudgal
Let be natural numbers and let be linear transformations such that there are no non-trivial subspaces $U,…