\'Etale cohomology of the complement of a linear subspace arrangement

TL;DR

This paper derives a formula for the cup product in l-adic cohomology of the complement of linear subspace arrangements, advancing understanding of their topological and algebraic structure.

Contribution

It introduces a new explicit formula for the cup product in l-adic cohomology specific to linear subspace arrangement complements.

Findings

Provides a formula for the cup product in l-adic cohomology.

Enhances understanding of the cohomological structure of arrangement complements.

Potential applications in algebraic geometry and topology.

Abstract

We prove a formula for the cup product on the l-adic cohomology of the complement of a linear subspace arrangement.