A combinatorial proof of a formula for Betti numbers of a stacked polytope

Suyoung Choi, Jang Soo Kim

For a simplicial complex $\Delta$, the graded Betti number ${\beta }_{i,j}(k[\Delta ])$ of the Stanley-Reisner ring $k[\Delta ]$ over a field $k$ has a combinatorial interpretation due to Hochster. Terai…