Maximal Cohen-Macaulay Modules over the Affine Cone of the Simple Node

Mathematics – Commutative Algebra

Scientific paper

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39 pages

Scientific paper

A concrete description of all graded maximal Cohen-Macaulay modules of rank
one and two over the affine cone of the simple node (a non-isolated
singularity) is given. For this purpose we construct an alghoritm that provides
extensions of MCM modules over an arbitrary hypersurface.

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