Differential and complex geometry of two-dimensional noncommutative tori

DOI10.1023/A:1021272314232zbMath1019.58004MaRDI QIDQ1868228

Momar Dieng

Publication date: 27 April 2003

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

noncommutative torusnoncommutative theta functions

Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Noncommutative geometry (à la Connes) (58B34)

Related Items (9)

Non-commutative complex differential geometry ⋮ Noncommutative complex structures on quantum homogeneous spaces ⋮ Star product formula of theta functions ⋮ Categories of holomorphic line bundles on higher dimensional noncommutative complex tori ⋮ Noncommutative two-tori with real multiplication as noncommutative projective varieties ⋮ Holomorphic functions on the quantum polydisk and on the quantum ball ⋮ Noncommutative Kähler structure on \(C^\ast\)-dynamical systems ⋮ Noncommutative supergeometry, duality and deformations ⋮ Non-associative geometry of quantum tori

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