Introduction to Anderson t-motives: a survey

A. Grishkov, D. Logachev

Published 2020-08-24Version 1

This is a survey on Anderson t-motives -- the functional field analogs of abelian varieties with multiplication by an imaginary quadratic field. We define their lattices, the group $H^1$, their tensor products and the duality functor. Some examples of explicit calculations are given, some elementary research problems are stated.