Length of Perverse Sheaves on Hyperplane Arrangements
Algebraic Topology
2019-09-10 v2 Algebraic Geometry
Abstract
In this article we address the length of perverse sheaves arising as direct images of rank one local systems on complements of hyperplane arrangements. In the case of a cone over an essential line arrangement with at most triple points, we provide combinatorial formulas for these lengths. As by-products, we also obtain in this case combinatorial formulas for the intersection cohomology Betti numbers of rank one local systems on the complement with same monodromy around the planes.
Keywords
Cite
@article{arxiv.1903.01924,
title = {Length of Perverse Sheaves on Hyperplane Arrangements},
author = {Nero Budur and Yongqiang Liu},
journal= {arXiv preprint arXiv:1903.01924},
year = {2019}
}
Comments
v2: final version, to appear in Eur. J. Math. volume in memory of S. Papadima