On associated graded modules of maximal Cohen-Macaulay modules over hypersurface rings

Ankit Mishra, Tony J. Puthenpurakal

Let $(A,\mathfrak{m})$ be a hypersurface ring with dimension $d$, and $M$ a MCM $A-$module with red$(M)\le 2$ and $\mu (M)=2$ or $3$ then we have proved that depth $G(M)\geq d-μ(M)+1…