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Fourier-Mukai on Abelian varieties

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

Abstract

Mukai’s 1981 paper [224] contains, in one way or another, in a more or less explicit form, many of the ideas that have been introduced and developed in subsequent years in connection with Fourier-Mukai transforms. Thus these ideas are often at the core of the theory of integral functors that we have quite systematically developed in the first chapter of this book. As a result, we can prove most of the results presented in this chapter quite straightforwardly. So, while the treatment of this chapter is fairly close in spirit to the original paper by Mukai [224], the details of the arguments are often rather different.

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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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