Arithmetic Structures on Noncommutative Tori with Real Multiplication

DOI10.1093/IMRN/RNM147zbMath1147.14003arXivmath/0610127OpenAlexW2064893464MaRDI QIDQ3515976

Jorge Plazas

Publication date: 30 July 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610127

zbMATH Keywords

quadratic algebratheta functionsnoncommutative torireal multiplication

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Noncommutative differential geometry (46L87) Elliptic curves over global fields (11G05) Elliptic curves (14H52) Theta series; Weil representation; theta correspondences (11F27) Noncommutative geometry in quantum theory (81R60) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Noncommutative geometry (à la Connes) (58B34) Quadratic and Koszul algebras (16S37) Relations with noncommutative geometry (11M55)

Related Items (3)

Modules over the noncommutative torus and elliptic curves ⋮ Quantum computation and real multiplication ⋮ Non-associative geometry of quantum tori

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