Model-theoretic Elekes–Szabó in the strongly minimal case

Author:

Chernikov Artem1,Starchenko Sergei2

Affiliation:

1. Department of Mathematics, University of California, Los Angeles, CA 90095-1555, USA

2. Department of Mathematics, University of Notre Dame, Notre Dame, IN 46656, USA

Abstract

We prove a generalization of the Elekes–Szabó theorem [G. Elekes and E. Szabó, How to find groups? (and how to use them in Erdos geometry?), Combinatorica 32(5) 537–571 (2012)] for relations definable in strongly minimal structures that are interpretable in distal structures.

Publisher

World Scientific Pub Co Pte Lt

Subject

Logic

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