Stacks similar to the stack of perverse sheaves

Details Stacks similar to the stack of perverse sheaves Stacks similar to the stack of perverse sheaves

2008-01-19

arxiv.org/abs/0801.3016v1

Mathematics

Representation Theory

Scientific paper

We introduce, on a topological space X, a class of stacks of abelian categories we call "stacks of type P." This class of stacks includes the stack of perverse sheaves (of any perversity, constructible with respect to a fixed stratification), and is singled out by fairly innocuous axioms. We show that some basic structure theory for perverse sheaves holds for a general stack of type P: such a stack is locally equivalent to a MacPherson-Vilonen construction, and under certain connectedness conditions its category of global objects is equivalent to the category of modules over a finite-dimensional algebra. To prove these results we develop a rudimentary tilting formalism for stacks of type P -- another sense in which these stacks are "similar to stacks of perverse sheaves."

Affiliated with

Also associated with

No associations

Rating

Stacks similar to the stack of perverse sheaves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stacks similar to the stack of perverse sheaves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stacks similar to the stack of perverse sheaves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-18733