English

On the reducibility of characteristic varieties

Algebraic Geometry 2007-05-23 v3

Abstract

We present a result which can be used for stratifications with conical singularities to deduce that a perverse sheaf (in particular, an intersection homology sheaf) has reducible characteristic variety, given a hypothesis on the monodromy of the vanishing cycles local system of a stratum. We apply it to explain most of the examples currently known where SS(IC(X)) is reducible for X a Schubert variety in a flag variety.

Keywords

Cite

@article{arxiv.math/9907182,
  title  = {On the reducibility of characteristic varieties},
  author = {Tom Braden},
  journal= {arXiv preprint arXiv:math/9907182},
  year   = {2007}
}

Comments

LaTeX, 7 pages

R2 v1 2026-07-22T18:03:59.447Z