Relative Fourier-Mukai functors

  • Claudio BartocciEmail author
  • Ugo Bruzzo
  • Daniel Hernández Ruipérez
Part of the Progress in Mathematics book series (PM, volume 276)


In this chapter we offer a quite comprehensive study of the relative Fourier-Mukai functors. We consider (proper) morphisms of algebraic schemes XB, YB, and use an element in the derived category of the fibered product X ×B Y as a kernel to define an integral functor from the derived category of X to the derived category of Y . This generalizes what we have already seen in Chapter 1 when the morphisms XB, YB are projections onto a factor of a product.


Modulus Space Exact Sequence Line Bundle Spectral Cover Elliptic Surface 
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Copyright information

© Birkhäuser Boston 2009

Authors and Affiliations

  • Claudio Bartocci
    • 1
    Email author
  • Ugo Bruzzo
    • 2
  • Daniel Hernández Ruipérez
    • 3
  1. 1.Dipartimento di MatematicaUniversità di GenovaGenovaItaly
  2. 2.Scuola Internazionale Superiore di Studi Avanzati and Istituto Nazionale di Fisica NucleareTriesteItaly
  3. 3.Departamento de Matemáticas and Instituto Universitario de Fisica Fundamental y MatemáticasUniversidad de SalamancaSalamancaSpain

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