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A.3.7 Depth
We compute the depth of the module of Kaehler differentials
of the variety defined by the
-minors of a generic symmetric
We do this by computing the resolution over the polynomial
ring. Then, by the Auslander-Buchsbaum formula, the depth is equal to
the number of variables minus the length of a minimal resolution. This
example was suggested by U. Vetter in order to check whether his bound
could be improved.
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