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Socle degrees, Resolutions, and Frobenius powers
We first describe a situation in which every graded Betti number in the tail
of the resolution of may be read from the socle degrees of . Then we apply the above result to the ideals and ; and
thereby describe a situation in which the graded Betti numbers in the tail of
the resolution of are equal to the graded Betti numbers in the tail
of a shift of the resolution of .Comment: 19 page
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