Classification of holomorphic vector bundles on noncommutative two-tori
Quantum Algebra
2007-05-23 v1 Algebraic Geometry
Abstract
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/0211262. This implies that the category of holomorphic bundles on is equivalent to the heart of certain -structure on the derived category of coherent sheaves on an elliptic curve.
Cite
@article{arxiv.math/0308136,
title = {Classification of holomorphic vector bundles on noncommutative two-tori},
author = {Alexander Polishchuk},
journal= {arXiv preprint arXiv:math/0308136},
year = {2007}
}
Comments
AMSLatex, 18 pages