Grothendieck–Neeman duality and the Wirthmüller isomorphism

@inproceedings{Balmer2016GrothendieckNeemanDA,
  title={Grothendieck–Neeman duality and the Wirthm{\"u}ller isomorphism},
  author={Paul Balmer and Ivo Dell'Ambrogio and Beren Sanders},
  year={2016}
}
  • Paul Balmer, Ivo Dell'Ambrogio, Beren Sanders
  • Published 2016
  • Mathematics
  • We clarify the relationship between Grothendieck duality \`a la Neeman and the Wirthm\"uller isomorphism \`a la Fausk-Hu-May. We exhibit an interesting pattern of symmetry in the existence of adjoint functors between compactly generated tensor-triangulated categories, which leads to a surprising trichotomy: There exist either exactly three adjoints, exactly five, or infinitely many. We highlight the importance of so-called relative dualizing objects and explain how they give rise to dualities… CONTINUE READING

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