相关论文: On the Koszul Betti numbers in positive characteri…

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 The paper is withdrawn until further notice.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the author due to a serious mistake on Lemma 2.4.

This paper has been withdrawn due to a crucial error in the proof of the main theorem

This paper has been withdrawn by the author due to a gap in the proof of the main result.

This paper has been withdrawn due to a crucial theoretical error.

This paper has been withdrawn by the authors, due a gap in the proof of the main Theorem.

This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2

This paper has been withdrawn by the author because there is a gap in Lemma 9.

The paper has been withdrawn by the author due to a crucial error.

The paper was withdrawn by the author.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

This paper has been withdrawn by the author due to a sheaf-theoretic error, in the end of the proof of the main theorem.

This paper has been withdrawn by the author. The statement of the Main Theorem but is wrong in general, there have been provided counterexamples. The main theorem only holds conditionally, under the finiteness statement of theorem 2.8.

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.

The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.

The paper has been withdrawn by the author, due a gap in the proof of Theorem 6.1. The gap was discovered by M. Van den Bergh. Theorem 6.1 is used to prove the main result of the paper, namely Theorem 0.7 (decomposition in arbitrary…

This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).

withdrawed due to a substantial error.

This paper has been withdrawn by the authors, because of a crucial gap in the proof of the main theorem.

This paper has been withdrawn by the author due to a crucial argument error at p.10.