Related papers: Geometric Auslander criterion for flatness

This paper has been withdrawn by the author, due an error in claim 1.

This paper has been withdrawn by the author(s), due to a crucial error in eq. 6.

This paper has been withdrawn by the author due to an error

This paper was withdrawn (temporarily?) by the author since an error needs to be corrected.

This paper has been withdrawn

The paper has been withdrawn.

This paper has been withdrawn by the author due to a serious gap in the proof of the main theorem.

This paper has been withdrawn by the author due to an error in the last paragraph of step 2 of the main proof, on page 6.

This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.

This paper has been withdrawn due to non-clearness of some technical points, as well as lack of a reasonable statement of quantization conjecture.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

The paper is withdrawn due to mistakes in the proofs for Proposition 1.2 and Theorem 2.2.

This paper has been withdrawn by the author due to a crucial sign error in equation (5).

The paper has been withdrawn.

This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.

This paper has been withdrawn by the author due to its publication

The paper has been withdrawn by the author due to a the manuscript error.

This paper was withdrawn by the authors. The mistake in math.AG/0209223 affects also this paper.

This paper is wrong and is therefore withdrawn.

This paper was withdrawn by the author due to an edition's rights