Geodesic
Classification of holomorphic vector bundles on noncommutative two-tori
Documenta mathematica, Tome 9 (2004), pp. 163-181.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We prove that every holomorphic vector bundle on a noncommutative two-torus $T$ can be obtained by successive extensions from standard holomorphic bundles considered in [2]. This implies that the category of holomorphic bundles on $T$ is equivalent to the heart of a certain $t$-structure on the derived category of coherent sheaves on an elliptic curve. 
@article{DOCMA_2004__9__a19,
     author = {Polishchuk, A.},
     title = {Classification of holomorphic vector bundles on noncommutative two-tori},
     journal = {Documenta mathematica},
     pages = {163--181},
     publisher = {mathdoc},
     volume = {9},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2004__9__a19/}
}
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Polishchuk, A. Classification of holomorphic vector bundles on noncommutative two-tori. Documenta mathematica, Tome 9 (2004), pp. 163-181. http://geodesic.mathdoc.fr/item/DOCMA_2004__9__a19/