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- W4315705873 abstract "Let $X$ be a complex torus of dimension $g$ and $hat{X}$ be the dual torus. For any $g(g-1)/2$-tuple $lambda$ of complex numbers of absolute value $1$, we define a non-commutative complex torus $X_lambda$ as a sheaf of algebras on a real torus of dimension $g$. We prove that if all components of $lambda$ are roots of unity, then the category of coherent sheaves on $X_lambda$ is abelian and derived-equivalent to the category of coherent sheaves on $hat{X}$ twisted by an element of the Brauer group of $hat{X}$ determined by $lambda$." @default.
- W4315705873 created "2023-01-12" @default.
- W4315705873 creator A5022140722 @default.
- W4315705873 date "2023-01-09" @default.
- W4315705873 modified "2023-09-25" @default.
- W4315705873 title "Fourier--Mukai transforms for non-commutative complex tori" @default.
- W4315705873 doi "https://doi.org/10.48550/arxiv.2301.03745" @default.
- W4315705873 hasPublicationYear "2023" @default.
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