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A simple proof of stability of Fourier-Mukai transform

2002/04/19 by Misha Verbitsky, Verbitsky, Misha
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.math/0204240

paper withdrawn (superseded by math.AG/0604303)

openalex publication_date 2002/04/19 · arxiv created 2006/09/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Paper is withdrawn due to errors (superseded by math.AG/0604303). Formula 6.5 is false. Section 6 is false, and the main statement is true only for bundles B with c1(B) SU(2)-invariant.

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