2003/08/14 by Alexander Polishchuk, Polishchuk, Alexander
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.AG #math.QA
paper · pdf · doi:10.48550/arxiv.math/0308136
AMSLatex, 18 pages
arxiv created 2003/08/14 · openalex publication_date 2003/08/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.