The functionality outlined below, and much more, is implemented in Hodge diamond cutter, which can be used in Sage. If you use it for your research, please cite it using .

Just a quick service announcement: I have now added Hodge diamonds for

• the Fano varieties of $i$-dimensional linear subspaces on the intersection of $Q_1\cap Q_2\subset\mathbb{P}^{2g}$
• the Grothendieck–Knudsen moduli space $\overline{M}_{0,n}$ of stable $n$-pointed rational curves

The first case, for $i=g-2$, is also the moduli space discussed in the previous post.

The usual comment applies: feel free to suggest other varieties whose Hodge diamonds you would like to be implemented!