Related papers: Termination of log flips in dimension 4

This document is withdrawn due to an error in Lemma 4.

This paper has been withdrawn by the author as it has already been submitted under the title "Twisted character of a small Representation of GL(4)".

This paper has been withdrawn by the authors due to a critical error discovered in Figures 1, 2 and 4.

This paper has been withdrawn by the author since the proof of Lemma 8 is not correct.

I want to withdraw this paper.

This paper has been withdrawn by the authors due to inadequate arguments.

This paper has been withdrawn due to an error in the proof of Theorem 5.3.

This paper has been withdrawn

This paper has been withdrawn due to a error in Theorem 3.1.

This paper has been withdrawn by the author, due to necessity of revision.

This paper has been withdrawn by the author, due to an error in relation (11).

The paper is withdrawn due to some errors.

The paper has been withdrawn.

This paper has been withdrawn by the authors, due a gap in the proof of the main Theorem.

The paper has been withdrawn by the author due to crucial error in formula (14) which does not satisfy conditions for S(x,y) domain if only d>2.

This paper has been withdrawn

This paper is withdrawn from submission due to a critical error in the proof of main theorem.

This paper has been withdrawn by the author(s), due a crucial sign error in Thm. 11.

Withdrawn May 2005. There is an error in the even-dimensional case of the proof in the April 2005 version. The hoped-for 4-dimensional applications are unlikely to survive the repairs.

This paper has been withdrawn by the author due to a sheaf-theoretic error, in the end of the proof of the main theorem.