Submission date: 26 April 2023

Abstract:

We suggest to look at formal sentences describing complex algebraic varieties together with their universal covers as topological invariants. We prove that for abelian varieties and Shimura varieties this is indeed a complete invariant, i.e. it determines the variety up to complex conjugation.

Mathematics Subject Classification: 03C45, 11G18

Keywords and phrases:

Full text arXiv 2304.13777: pdf, ps.