Related papers: Termination of log flips in dimension 4

This paper has been withdrawn by the author due to a crucial sign error in Theorem 3.4.

This paper has been withdrawn by the author due to a serious mistake on Lemma 2.4.

This paper has been withdrawn by the author, due to a crucial error in page 5.

This paper is withdrawn because of an error in Lemma 3.1

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.

This paper has been withdrawn due to a crucial error in the proof of the main theorem

This paper has been withdrawn by the author, due to a significant error in section 4.3.1.

This paper is withdrawn. We found a mistake in Lemma 4.1

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.

This paper has been withdrawn by the author due to a crucial mistakes.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn because of serious errors.

This paper has been withdrawn by the author due to a crucial error in the submission action.

This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2

This paper has been withdrawn by the author due to an error estimate in Lemma 3.1.

This paper has been withdrawn by the author. There is an error on page 3 in the last inequality before Lemma 1.1.

This paper has been withdrawn by the author due to a crucial error in last part of proof.