Hi.

Can anyone answer the two following questions:

For $n$-dimensional $X$ Cohen-Macaulay complex space, is it true that the sheaf of top degree homolorphic forms $\Omega^{n}_{X}$ has no torsion?

For $f:X\rightarrow S$ Cohen-Macaulay morphism of reduced complex spaces, is it true that $\Omega^{n}_{X/S}$ has no torsion on $X$?

I think that these two questions have negative answers; but I don't know how to prove it.

In fact, if it is true then the "fundamental class morphism" would be injective!

Thank you.