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math.AG2004★ 2 cited
Affine structures and non-archimedean analytic spaces
Maxim Kontsevich, Yan Soibelman
In this paper we propose a way to construct an analytic space over a non-archimedean field, starting with a real manifold with an affine structure which has integral monodromy. Our…
math.AG2002
Non-commutative compactifications and elliptic curves
Yan Soibelman, Vadim Vologodsky
We study non-commutative degenerations of elliptic curves over local fields. The corresponding objects are close relatives of non-commutative tori of Connes and Rieffel.