Abstract
In this chapter we offer a quite comprehensive study of the relative Fourier-Mukai functors. We consider (proper) morphisms of algebraic schemes X → B, Y → B, 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 X → B, Y → B are projections onto a factor of a product.
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© 2009 Birkhäuser Boston
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Bartocci, C., Bruzzo, U., Ruipérez, D.H. (2009). Relative Fourier-Mukai functors. In: Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics. Progress in Mathematics, vol 276. Birkhäuser Boston. https://doi.org/10.1007/b11801_6
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DOI: https://doi.org/10.1007/b11801_6
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Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3246-5
Online ISBN: 978-0-8176-4663-9
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