Free minimal resolutions and the Betti numbers of the suspension of an n -gon

Tilak de Alwis

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-6

Abstract:

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 [ x 1 , x 2 , … , x n ] , 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 .

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:582302

DOI: 10.1155/S0161171200001563

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