Non-commutative compactifications and elliptic curves

2002/05/10 by Yan Soibelman, Vadim Vologodsky, Soibelman, Yan +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Number Theory (math.NT) #Quantum Algebra (math.QA) #hep-th #math.AG #math.NT #math.QA

paper · pdf · doi:10.48550/arxiv.math/0205117

Few corrections added

openalex publication_date 2002/05/10 · arxiv created 2002/10/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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• Riemann surfaces and AF -algebras

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