Abstract
Let M and N be finitely generated graded modules over a graded complete intersection R such that \({\text {Ext}}_R^i(M,N)\) has finite length for all \(i\gg 0\). We show that the even and odd Hilbert polynomials, which give the lengths of \({\text {Ext}}^i_R(M,N)\) for all large even i and all large odd i, have the same degree and leading coefficient whenever the highest degree of these polynomials is at least the dimension of M or N. Refinements of this result are given when R is regular in small codimensions.
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