Congruence modules and Wiles defects of determinantal rings of maximal minors

Kashif Khan, Aryaman Maithani

Let $O$ be a discrete valuation ring and $A:=O[X_{m\times n}]/I_m(X)$ the determinantal ring of maximal minors. We consider algebra maps $\hat{I}»:A\to O$, which is tantamoun…