强极小情形下的模型论Elekes-Szabó定理
逻辑
2020-07-24 v3 组合数学
摘要
我们证明了在远端结构中可解释、定义于强极小结构中的关系的Elekes-Szabó定理的一个推广。
关键词
引用
@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}
}
备注
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