Related papers: Termination of log flips in dimension 4

This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.

This paper has been withdrawn by the author due to a crucial sign error.

The paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the author, due a critical mistake on page 3.

This paper has been withdrawn by the author, due a crucial error in the main idea.

The paper has been withdrawn due to a crucial error in section 3.

This paper has been withdrawn by the author, due a crucial mistake in proof of lemma 4.2.

This paper has been withdrawn by the author due to a crucial sign error in Proposition 3.1.

This paper has been withdrawn by the authors, due to a crucial error in beta functions.

This paper has been withdrawn by the author due to an error in the derivation.

This paper has been withdrawn by the author due to an error in the last paragraph of step 2 of the main proof, on page 6.

This paper has been withdrawn due to a crucial theoretical error.

This article is withdrawn because of a mistake in the main result of the paper.

This paper has been withdrawn by the author due to an erro thereon line -2 of page 4.

This paper has been withdrawn by the authors due to some fatal errors in the analysis.

This paper has been withdrawn by the author due to a crucial error in the last lines in the proof of Lemma 3.3.

This note was an attempt to complete a gap in the proof of Theorem 11.1 of the paper arXiv:1111.5992. Due to a critical gap in the proof of Lemma 4.3, this paper is withdrawn.

This paper has been withdrawn by the author due to a errors in figure 3,4

This paper has been withdrawn as the proof of Lemma 4.1 is incomplete.

The paper has been withdrawn due to an error in Lemma 1.