Classification of abelian Nash manifolds

Abstract

By the algebraization of affine Nash groups, a connected affine Nash group is an abelian Nash manifold if and only if its algebraization is a real abelian variety. We first classify real abelian varieties up to isomorphisms. Then with a bit more efforts, we classify abelian Nash manifolds up to Nash equivalences.

Cited by in corpus (1)

• Classification of Connected Commutative Locally Nash Groups