van Garens–Ranganathan log-local conjecture for normal crossing divisors

Let $X$ be a smooth projective variety and let $D=D_1+\cdots+D_n$ be an effective reduced normal crossing divisor whose components $D_i$ are smooth, irreducible, and nef. For a curve class $\beta$ of $X$, let

$$d_i:=D_i\cdot\beta>0,$$

and let $F$ be the morphism from the moduli space of genus-zero basic stable log maps to $(X,D)$ with one maximal-contact relative marking for each $D_i$ to the moduli space of stable maps to the total space of $\bigoplus_{i=1}^n\mathcal O_X(-D_i)$. van Garens–Ranganathan log-local conjecture.

$$[\overline{\mathcal M}_{0,0}(\bigoplus_{i=1}^n\mathcal O_X(-D_i),\beta)]^{\operatorname{vir}}=\left(\prod_{i=1}^n\frac{(-1)^{d_i-1}}{d_i}\right)F_*[\overline{\mathcal M}_{0,0,(d_1),\ldots,(d_n)}(X/D,\beta)]^{\operatorname{vir}}.$$

This identifies genus-zero local invariants with maximal-tangency logarithmic invariants after the displayed normalization. It has been proved in some cases, but remains open in general.