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Stanley-Reisner rings whose Betti numbers are independent of the base field
| Title: | Stanley-Reisner rings whose Betti numbers are independent of the base field |
| 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: | 276 |
| Start Page: | 1 |
| End Page: | 12 |
| Abstract: | We study the Betti numbers which appear in a minimal free resolution of the Stanley-Reisner ring k[] = A/ft:. of a simplicial complex over a field k. It is known that the second Betti number of k[] is independent of the base field k. We show that, when the ideal ft:. is generated by square-free monomials of degree two, the third and fourth Betti numbers are also independent of k. On the other hand, we prove that, if the goemetric realization of is homeomorphic to either the 3-sphere or the 3-ball, then all the Betti numbers of k[] are independent of the base field k. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69027 |
| 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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