Intersection cohomology of a rank one local system on the complement of a hyperplane-like divisor

TL;DR

This paper presents a method to compute the intersection cohomology of a rank one local system on the complement of a hyperplane-like divisor under specific conditions, advancing understanding in algebraic geometry.

Contribution

It introduces a new construction for calculating intersection cohomology in the context of hyperplane-like divisors with certain conditions.

Findings

Provides a concrete computational method for intersection cohomology

Extends previous work to a broader class of divisors

Offers insights into the topology of hyperplane complements

Abstract

Under a certain condition A we give a construction to calculate the intersection cohomology of a rank one local system on the complement to a hyperplane-like divisor