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

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  • Tilak de Alwis

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 .

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  • Tilak de Alwis, 2000. "Free minimal resolutions and the Betti numbers of the suspension of an n -gon," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 23, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:582302
    DOI: 10.1155/S0161171200001563
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