Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics

By C. Bartocci, U. Bruzzo, Daniel Hernández-Ruipérez. 2009

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Fourier-Mukai Transforms and Bridgeland Stability Conditions on Abelian Threefolds (2013, methodology): “On the other hand, we have the isomorphisms ([14]) Therefore the abelian category B √ , 12 behaves somewhat similarly to the category of coherent sheaves on an abelian surface under the Fourier-Mukai transform (see [3], [10], [18] for further details).”
Lectures on K3 Surfaces (2016, background): “As the general theory of Fourier–Mukai transforms has been presented in detail in various surveys and in particular in the two monographs [33, 252], we look for ad hoc arguments highlighting the special features of K3 surfaces.”