Suppose R is noetherian local ring of dimension d and I is generated by a regular sequence of length d. Then why is the length of the module $\ell(R/I^n)={n+d-1\choose d}$
2026-03-29 15:21:38.1774797698
Length of powers of ideals generated by regular sequence
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This happnes as the associated graded ring is a polynomial ring.