We compute the Chow ring of an arbitrary heavy/light Hassett space ${\bar{M}}_{0,w}$. These spaces are moduli spaces of weighted pointed stable rational curves, where the associated weight vector w consists of only heavy and light weights. Work of Cavalieri et al. [3] exhibits these spaces as tropical compactifications of hyperplane arrangement complements. The computation of the Chow ring then reduces to intersection theory on the toric variety of the Bergman fan of a graphic matroid. Keel [16] has calculated the Chow ring $A^{⁎}({\bar{M}}_{0,n})$ of the moduli space ${\bar{M}}_{0,n}$ of stable nodal n-marked rational curves; his presentation is in terms of divisor classes of stable trees of ${\mathbf{P}}^1$'s having one nodal singularity. Our presentation of the ideal of relations for the Chow ring $A^{⁎}({\bar{M}}_{0,w})$ is analogous. We show that pulling back under Hassett's birational reduction morphism ${\rho }_w:{\bar{M}}_{0,n}\to {\bar{M}}_{0,w}$ identifies the Chow ring $A^{⁎}({\bar{M}}_{0,w})$ with the subring of $A^{⁎}({\bar{M}}_{0,n})$ generated by divisors of w-stable trees, which are those trees which remain stable in ${\bar{M}}_{0,w}$.

我们计算任意重/轻Hassett空间的Chow环 ${\stackrel{〜}{\mathrm{中号}}}_{0，w}$。这些空间是加权尖的稳定有理曲线的模空间，其中关联的权重向量w仅包括重和轻的权重。卡瓦列里等人的工作。[3]展示了这些空间作为超平面排列的热带压实的补充。然后，对Chow环的计算就简化为关于图形拟阵的Bergman扇的复曲面变化的交集理论。龙骨[16]计算出了松狮圈${\mathrm{一种}}^{⁎}（{\stackrel{〜}{\mathrm{中号}}}_{0，ñ}）$ 模空间 ${\stackrel{〜}{\mathrm{中号}}}_{0，ñ}$稳定的节点n标记有理曲线；他的演讲是根据稳定树的除数类${\mathbf{P}}^{\mathrm{1个}}$具有一个节点奇异点。我们对松狮犬关系理想的介绍${\mathrm{一种}}^{⁎}（{\stackrel{〜}{\mathrm{中号}}}_{0，w}）$是类似的。我们证明了在Hassett的双理性还原态态下拉回${\rho }_w：{\stackrel{〜}{\mathrm{中号}}}_{0，ñ}\to {\stackrel{〜}{\mathrm{中号}}}_{0，w}$ 识别松狮圈 ${\mathrm{一种}}^{⁎}（{\stackrel{〜}{\mathrm{中号}}}_{0，w}）$ 与的子环 ${\mathrm{一种}}^{⁎}（{\stackrel{〜}{\mathrm{中号}}}_{0，ñ}）$由w稳定树的除数生成，这些稳定树在${\stackrel{〜}{\mathrm{中号}}}_{0，w}$。