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Classification of Holomorphic Vector Bundles on Noncommutative Two-tori by Polishchuk, Alexander is a scholarly article available to read on EtoBox.

What is Classification of Holomorphic Vector Bundles on Noncommutative Two-tori about?

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 math.QA/0211262. This implies that the category of holomorphic bundles on $T$ is equivalent to the heart of certain $t$-structure on the derived category of coherent sheaves on an elliptic curve.

Author

Polishchuk, Alexander

Published

2003

Language

EN