Model-theoretic Elekes-Szab\'o in the strongly minimal case
Logic
2020-07-24 v3 Combinatorics
Abstract
We prove a generalizations of the Elekes-Szab\'o theorem for relations definable in strongly minimal structures that are interpretable in distal structures.
Keywords
Cite
@article{arxiv.1801.09301,
title = {Model-theoretic Elekes-Szab\'o in the strongly minimal case},
author = {Artem Chernikov and Sergei Starchenko},
journal= {arXiv preprint arXiv:1801.09301},
year = {2020}
}
Comments
v.3 22p; Proposition 1.7 is new; Section 2 was partially rewritten, Theorem 2.6 now has a stronger bound; minor corrections and additional explanations throughout the article; accepted to the Journal of Mathematical Logic