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- Fourier–Mukai_transform abstract "In algebraic geometry, the Fourier–Mukai transform or Mukai–Fourier transform, introduced by Mukai (1981), is an isomorphism between the derived categories of coherent sheaves on an abelian variety and its dual. It is analogous to the classical Fourier transform that gives an isomorphism between tempered distributions on a finite-dimensional real vector space and its dual.If the canonical class of a variety is positive or negative, then the derived category of coherent sheaves determines the variety. The Fourier–Mukai transform gives examples of different varieties (with trivial canonical bundle) that have isomorphic derived categories, as in general an abelian variety of dimension greater than 1 is not isomorphic to its dual.".
- Fourier–Mukai_transform wikiPageExternalLink 1118786312.
- Fourier–Mukai_transform wikiPageExternalLink 9780199296866.001.0001.
- Fourier–Mukai_transform wikiPageID "8465724".
- Fourier–Mukai_transform wikiPageLength "2946".
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- Fourier–Mukai_transform wikiPageRevisionID "647529407".
- Fourier–Mukai_transform wikiPageWikiLink Abelian_variety.
- Fourier–Mukai_transform wikiPageWikiLink Algebraic_geometry.
- Fourier–Mukai_transform wikiPageWikiLink Canonical_bundle.
- Fourier–Mukai_transform wikiPageWikiLink Category:Abelian_varieties.
- Fourier–Mukai_transform wikiPageWikiLink Coherent_sheaf.
- Fourier–Mukai_transform wikiPageWikiLink Derived_category.
- Fourier–Mukai_transform wikiPageWikiLink Direct_image_functor.
- Fourier–Mukai_transform wikiPageWikiLink Distribution_(mathematics).
- Fourier–Mukai_transform wikiPageWikiLink Dual_abelian_variety.
- Fourier–Mukai_transform wikiPageWikiLink Fourier_transform.
- Fourier–Mukai_transform wikiPageWikiLink Pontryagin_product.
- Fourier–Mukai_transform wikiPageWikiLink Tensor_product.
- Fourier–Mukai_transform wikiPageWikiLinkText "Fourier-Mukai transform".
- Fourier–Mukai_transform wikiPageWikiLinkText "Fourier–Mukai transform".
- Fourier–Mukai_transform wikiPageUsesTemplate Template:Citation.
- Fourier–Mukai_transform wikiPageUsesTemplate Template:Cite_journal.
- Fourier–Mukai_transform wikiPageUsesTemplate Template:Harvs.
- Fourier–Mukai_transform subject Category:Abelian_varieties.
- Fourier–Mukai_transform hypernym Isomorphism.
- Fourier–Mukai_transform type Group.
- Fourier–Mukai_transform type Group.
- Fourier–Mukai_transform type Redirect.
- Fourier–Mukai_transform type Variety.
- Fourier–Mukai_transform comment "In algebraic geometry, the Fourier–Mukai transform or Mukai–Fourier transform, introduced by Mukai (1981), is an isomorphism between the derived categories of coherent sheaves on an abelian variety and its dual.".
- Fourier–Mukai_transform label "Fourier–Mukai transform".
- Fourier–Mukai_transform sameAs Q3537566.
- Fourier–Mukai_transform sameAs Transformée_de_Fourier-Mukai.
- Fourier–Mukai_transform sameAs m.0274f3_.
- Fourier–Mukai_transform sameAs Q3537566.
- Fourier–Mukai_transform wasDerivedFrom Fourier–Mukai_transform?oldid=647529407.
- Fourier–Mukai_transform isPrimaryTopicOf Fourier–Mukai_transform.