Classification of abelian Nash manifolds

Bao, Yixin; Chen, Yangyang; Zhao, Yi

doi:10.1090/proc/15743

Classification of abelian Nash manifolds
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by Yixin Bao, Yangyang Chen and Yi Zhao PDF

Proc. Amer. Math. Soc. 150 (2022), 397-409 Request permission

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.

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