2024-03-29T08:40:23Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/690292022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Computation of Betti numbers of monomial ideals associated with stacked polytopesTerai, N.Hibi, T.open access410Let P( v, d) be a stacked d-polytope with v vertices, .6.(P( v, d)) the boundary complex of P( v, d), and k[.6.(P( v, d))] = A/ IA(P(v,d)) the Stanley-Reisner ring of .6.(P( v, d)) over a field k. We comツュpute the Betti numbers which appear in a minimal free resolution of k[.6.(P(v,d))] over A, and show that every Betti number depends only on v and d and is independent of the base field k.Department of Mathematics, Hokkaido University1995-01-01engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83425http://hdl.handle.net/2115/6902910.14943/83425Hokkaido University Preprint Series in Mathematics27818https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69029/1/pre278.pdfapplication/pdf356.66 KB1995-01-01