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Does anybody have a good reference that lists spectral sequences that may be used to compute Hom sets in derived categories (of coherent sheaves, say)?

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    $\begingroup$ The recent book "Representation Theory: A Homological Algebra Point of View " by Alexander Zimmermann has in chapter 3.9. a section about that. $\endgroup$
    – Mare
    Jun 28, 2016 at 15:54
  • $\begingroup$ Thanks. While that book discusses only one example, i feel the reference there might be of use $\endgroup$
    – Bertrand
    Jun 28, 2016 at 16:03

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Here are two reference sheets for computing Hom sets in derived categories, which you may find useful:

  1. Perverse Sheaves Quick Reference Guide and
  2. Derived Categories Cheat Sheet.

Here are two more references:

  1. Applications of Homological Algebra and
  2. Derived Categories of Sheaves: A Skimming.
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