Related papers: Geometric Auslander criterion for flatness

This paper has been withdrawn by the author(s), due a mistake of factor 1/2.

This paper has been withdrawn by the author due a few mistakes in the paper.

We give an effective criterion for openness of a morphism of schemes of finite type over a field: Over a normal base of dimension n, failure of openness is detected by a vertical component in the n'th fibred power of the morphism. This is a…

This paper has been withdrawn because of serious errors.

This paper has been withdrawn by the author, due to errors in Groebner basis calculations in the cases of five and six dimensional groups.

This paper has been withdrawn by the author due to serious error found in main argument.

The paper has benn withdrawn because the computation of the external virial contains an error which invalidate the main result.

This paper has been withdrawn by the author, due to an error in Proposition 2.2.

This paper has been withdrawn by the author since $U$ in Lemma 2 is in general not a subspace.

The paper has been withdrawn by the author, due to a critical error stemming from the defined template.

This paper has been withdrawn due to a photometric calibration error.

This paper has been withdrawn by the author due to errors and bad formalization.

This paper has been withdrawn by the author due to a crucial error in equation.

The paper was withdrawn by the author. It contained various errors.

The paper has been withdrawn by the author due to a crucial error.

The paper is withdrawn. The proof has an error and it requires a different approach.

This paper has been withdrawn by the author due to an error.

The paper has been withdrawn due to a crucial error in section 3.

Major mistake. The paper has been withdrawn.

There have been gaps found in the proofs. The paper is withdrawn until further notice.