M-regularity and the Fourier-Mukai transform

Mathematics – Algebraic Geometry

Scientific paper

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18 pages; expository paper; a few remarks and examples added, some typos corrected

Scientific paper

This is a survey of M-regularity for coherent sheaves on abelian varieties
and its applications, based on lectures given by the second author at the
Seattle conference, in August 2005, and at the Luminy GAC workshop in October
2005. Section 3 contains some brief indications of upcoming work.

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