Geodesic
Classification of holomorphic vector bundles on noncommutative two-tori
Documenta mathematica, Tome 9 (2004), pp. 163-181
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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{10_4171_dm_163,
     author = {A. Polishchuk},
     title = {Classification of holomorphic vector bundles on noncommutative two-tori},
     journal = {Documenta mathematica},
     pages = {163--181},
     year = {2004},
     volume = {9},
     doi = {10.4171/dm/163},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/163/}
}
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A. Polishchuk. Classification of holomorphic vector bundles on noncommutative two-tori. Documenta mathematica, Tome 9 (2004), pp. 163-181. doi: 10.4171/dm/163

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