A topological group of extensions of $\Q$ by $\mathbb{Z}$

Abstract

The group of extensions (as in the title), endowed with something like a connection at Archimedean infinity, is isomorphic to the adéle-class group of $\Q$: which is a topological group with interesting Haar measure.}

arXiv commentFor Mike and Takashi

References in corpus (3)

• Hermitian vector bundles and extension groups on arithmetic schemes. I. Geometry of numbers
• Grothendieck duality under Spec Z
• The spherical Hall algebra of Spec(Z)

Cited by in corpus (1)

• An arithmetic topos for integer matrices