On complex and noncommutative tori

DOI10.1090/S0002-9939-05-08244-4zbMath1094.14020arXivmath/0212324MaRDI QIDQ3372069

Igor V. Nikolaev

Publication date: 17 February 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212324

zbMATH Keywords

noncommutative geometrycomplex multiplication

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Noncommutative topology (46L85) Elliptic curves (14H52)

Cites Work

• The length spectra as moduli for compact Riemann surfaces
• C*-algebras associated with irrational rotations
• Categories of holomorphic vector bundles on noncommutative two-tori
• On rings of operators
• Correction to: Silberg' trace formua as applied to a compact riemann surface by H. P. Mckean, comm. pure appl. math. 25, pp. 225‐246,1972
• Geometry of Riemann surfaces based on closed geodesics
• Quantum tori, mirror symmetry and deformation theory.
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