Fourier-Mukai transform

noun

A functor Φ_K between derived category of coherent sheaves D(X) → D(Y) for schemes X and Y, which is, in a sense, an integral transform along a kernel object K ∈ D(X×Y).

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Meanings

nounFourier-Mukai transform (plural Fourier-Mukai transforms)

plural Fourier-Mukai transforms

  1. algebraic geometryA functor Φ_K between derived category of coherent sheaves D(X) → D(Y) for schemes X and Y, which is, in a sense, an integral transform along a kernel object K ∈ D(X×Y).
Cite this entry
APA

Fourier-Mukai transform. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Fourier-Mukai%20transform

MLA

“Fourier-Mukai transform.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Fourier-Mukai%20transform. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Fourier-Mukai transform,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Fourier-Mukai%20transform.

Source: Fourier-Mukai transform on Wiktionary, CC BY-SA 4.0.