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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 ...
7 votes
1 answer
490 views

Equivariant perverse sheaves and orbit stratification

Let $X$ be a complex algebraic variety with an action of a connected algebraic group $G$. The forgetful functor from the category of $G$-equivariant perverse sheaves on $X$ to the category of perverse ...
2 votes
1 answer
687 views

Derived Push-Forward of Morphism of Perverse Sheaves and Translation Functors

I hope this question is not too vague. Let $G$ be a complex reductive group, $B$ a Borel subgroup of $G$, and $P$ a parabolic containing $B$. Denote by $\pi:G/B\to G/P$ the canonical map. Consider ...