Bass and Betti Numbers of $A/I^n.$

Ganesh S. Kadu, Tony J. Puthenpurakal

Let $(A, \m, k)$ be a Gorenstein local ring of dimension $d\ge 1.$ Let $I$ be an ideal of $A$ with $\htt(I) \geq d-1.$ We prove that the numerical function \[ n \mapsto \ell(\ext…