Abstract
In this paper, we will describe the Pascal Type properties of Betti numbers of ideals associated to n‐gons. These are quite similar to the properties enjoyed by the Pascal′s Triangle, concerning the binomial coefficients. By definition, the Betti numbers βt(n) of an ideal I associated to an n‐gon are the ranks of the modules in a free minimal resolution of the R‐module R/I, where R is the polynomial ring k[x1, x2, …, xn]. Here k is any field and x1, x2, …, xn are indeterminates. We will prove those properties using a specific formula for the Betti numbers.
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