Codimension-two transverse torsion principle

Let $X$ be a complex variety with a codimension-two stratum

$$\Sigma\subset X$$

whose transverse singularity is a normal surface singularity with local discriminant package $(E,q)$. Then the higher-dimensional carrier of this torsion is a finite local system $\mathcal E$ on $\Sigma$, with fiber $E$. Codimension-two transverse torsion principle. The global contribution of the transverse torsion package is governed by the cohomology groups

$$H^r(\Sigma,\mathcal E),$$

together with their support, Brauer, residue, and rationalization trajectories. This principle proposes the natural higher-dimensional continuation of the surface package through codimension-two strata rather than isolated higher-dimensional ordinary double points.