Intersection-pairing conjecture for the ring of a unimodular hypertoric variety

Let $\mathcal{A}$ be a unimodular arrangement, let $\mathfrak{M}(\mathcal{A})$ be the associated hypertoric variety, and let $R(\mathcal{A})$ be the ring generated by the elements $e_i$ modulo the circuit relations defined in the paper. The source also provides natural graded vector-space isomorphisms between equivariant and ordinary intersection cohomology and $R(\mathcal{A})$ and $R_0(\mathcal{A})$, respectively. Intersection-pairing conjecture. These isomorphisms are natural, and multiplication in $R(\mathcal{A})$ may be interpreted as an intersection pairing on $\mathfrak{M}(\mathcal{A})$. This is the geometric refinement of the preceding ring-structure conjecture; it gives the proposed interpretation of multiplication, while the source does not state a resolution.