Free minimal resolutions and the Betti numbers of the suspension of an n-gon
Consider the general n-gon with vertices at the points 1,2,…,n. Then its suspension involves two more vertices, say at n+1 and n+2. Let R be the polynomial ring k[x1,x2,…,xn], where k is any field. Then we can associate an ideal I to our suspension in the Stanley-Reisner sense. In this paper, we fi...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200001563 |
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| Summary: | Consider the general n-gon with vertices at the points
1,2,…,n. Then its suspension involves two more vertices, say
at n+1 and n+2. Let R be the polynomial ring k[x1,x2,…,xn], where k is any field. Then we can associate an ideal I to our suspension in the Stanley-Reisner
sense. In this paper, we find a free minimal resolution and the
Betti numbers of the R-module R/I. |
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| ISSN: | 0161-1712 1687-0425 |