35 citations · 69 across the 12 of their papers we have counts for
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math.QA2005★ 6 cited
Quasicoherent sheaves on complex noncommutative two-tori
Alexander Polishchuk
We introduce the notion of a quasicoherent sheaf on a complex noncommutative two-torus as an ind-object in the category of holomorphic vector bundles on . Extending the resu…
math.QA2003★ 35 cited
Classification of holomorphic vector bundles on noncommutative two-tori
Alexander Polishchuk
We prove that every holomorphic vector bundle on a noncommutative two-torus can be obtained by successive extensions from standard holomorphic bundles considered in math.QA/021…