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On ideals generated by a-fold products of linear forms

On ideals generated by a-fold products of linear forms

Let 𝕂 be any field. Given n linear forms in R=𝕂[x1,…,xk], some possibly proportional, in one of our main results we show that the ideal I⊂R generated by all (n−2)-fold products of these linear forms has linear graded free resolution. When no two of the linear forms considered are proportional, …