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Computation of Betti numbers of monomial ideals associated with stacked polytopes
Title: | Computation of Betti numbers of monomial ideals associated with stacked polytopes |
Authors: | Terai, N. Browse this author | Hibi, T. Browse this author |
Issue Date: | 1-Jan-1995 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 278 |
Start Page: | 1 |
End Page: | 8 |
Abstract: | Let 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. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69029 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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