Abstract

In this posthumously published work, motivated by the study of the completed local rings at “bad” points of the eigencurve, J. Bellaïche studies the set of isomorphism classes of Cohen–Macaulay modules over the ring $T_N:=k[[X_1,\dots <!--FUNCTION\; APPLICATION-->,X_N]]∕⟨{(X_i{X}_j)}_{1\le i<j\le N}⟩$ for any $N\ge 1$ and computes the $L$-ideals of the duality pairing between Cohen–Macaulay fractional ideals of $T_N$.

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