Stanley-Reisner rings whose Betti numbers are independent of the base field

Terai, N.; Hibi, T.

Hokkaido University Preprint Series in Mathematics, 1995, 276, 1-12

Permalink : https://doi.org/10.14943/83423

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DOI	https://doi.org/10.14943/83423
URI	https://hdl.handle.net/2115/69027
タイトル	Stanley-Reisner rings whose Betti numbers are independent of the base field
著者	著者名 Terai, N.
著者	著者名 Hibi, T.
言語	英語
発行日	1995-01-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	276
ページ	1-12
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record