Related papers: Termination of log flips in dimension 4
This paper has been withdrawn by the author(s), due a crucial sign error in conclusion .
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.
This paper has been withdrawn by the author due to incomplete interpretation for the results.
This paper has been withdrawn by the authors, due a crucial error in Sec. 3.
This paper has been withdrawn by the author due to an error.
This paper is being withdrawn because an error was discovered in lemma 4.3. Although the rest of the paper appears to be correct, this error invalidates the proof of theorem 3.1 and theorem 3.3.
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
This paper has been withdrawn by the author due to a mistake in the section 4.
This paper has been withdrawn by the author due to a crucial errors.
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
This paper has been withdrawn by the author due to a gap in the proof of Lemma 3.4
The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.
This paper has been withdrawn by the author because there is a gap in Lemma 9.
This paper has been withdrawn by the author because Lemma 3 is incorrect.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This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.
This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.
This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.
This paper has been withdrawn by the author(s), due a mistake of factor 1/2.
This paper has been withdrawn by the author due to a crucial error in equation.