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3 votes
1 answer
251 views

About decomposition theorem BBD with respect to some stratification

I want to follow up a question from here (how to deduce version 1.a. from version 1). I know a version of decomposition theorem BBD: Version 1. Let $f:X\to Y$ be a (surjective) proper map of complex ...
Toan's user avatar
  • 133
5 votes
1 answer
602 views

Intersection cohomology and Poincaré duality

When trying to learn about perverse sheaves I hand-wavingly thought that intersection cohomology is the ‘minimal’ way of fixing the failure of Poincaré duality. But I am very aware that it is risky to ...
l-r-b's user avatar
  • 85
9 votes
3 answers
2k views

Applications for intersection (co)homology and for the Decomposition Theorem for students?

Which applications of intersection (co)homology and of the (Topological) Decomposition Theorem have most chances to be understood by students?
Mikhail Bondarko's user avatar