Fourier–Mukai transform

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:Bridgeland_stability_conditions
Equivalence of derived categories
Moduli spaces
gptkbp:codomain Derived category of coherent sheaves on another algebraic variety
gptkbp:defines Integral transform between derived categories of coherent sheaves
gptkbp:domain Derived category of coherent sheaves on an algebraic variety
gptkbp:field gptkb:Algebraic_geometry
gptkbp:generalizes gptkb:Fourier_transform
https://www.w3.org/2000/01/rdf-schema#label Fourier–Mukai transform
gptkbp:introduced gptkb:Shigeru_Mukai
gptkbp:introducedIn 1981
gptkbp:kernelType Object in the derived category of the product of two varieties
gptkbp:namedAfter gptkb:Jean-Pierre_Serre
gptkb:Shigeru_Mukai
gptkbp:relatedTo gptkb:Derived_category
gptkb:Fourier_transform
Abelian variety
gptkbp:usedIn gptkb:Algebraic_geometry
gptkb:string_theory
gptkb:Homological_mirror_symmetry
gptkbp:bfsParent gptkb:Derived_category
gptkbp:bfsLayer 6