2
$\begingroup$

I am looking for reference for properties of nearby cycles - specifically, commutation with non-characteristic pull-back (good enough - commutation with pull-back to closed subvariety which is transversal to a stratification for which our sheaf is smooth). I would like a reference for any of the following settings:

  • D-modules using V-filtration or Beilinsons definition
  • l-adic sheaves
  • constructible sheaves in the "usual complex world"

Thank you, Sasha

$\endgroup$
2
$\begingroup$

For the first item, section 3 of M. Saito's Modules de Hodge Polarizables is pretty thorough. He works in the filtered $D$-module setting, but I suppose you can ignore that aspect. For the constructible setting, perhaps you can look at Dimca's Sheaves in Topology.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.