Related papers: On the Strong Factorization of Toric Birational Ma…

We withdraw our paper as the factorizability of the correlation functions is unproven.

This paper has been withdrawn as the proof of Lemma 4.1 is incomplete.

This paper was withdrawn by the author due to an edition's rights

This paper was withdrawn by the author.

This paper has been withdrawn by the author due to new results to be added.

This paper has been withdrawn because it is a duplicate of [math/0609208].

This paper is withdrawn because its results have been previously reported in arxiv hep-th/0507200.

This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).

This paper has been withdrawn by the author because overcame by arXiv:0910.4694

This paper has been withdrawn by the authors.

This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.

This paper has been withdrawn by the author due to similarity to Author's other paper

This paper has been withdrawn by the author due a few mistakes in the paper.

This paper has been retracted.

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn

This paper was withdrawn by the authors due to significant new findings. A new paper on the same topic has been submitted as physics/0310159.

This paper has been withdrawn by the author because the conclusions reached in it are incorrect.

This paper has been withdrawn.

This is an expanded version of the notes for the lectures given by the author at RIMS in the summer of 1999 to give a detailed account of the proof for the (weak) factorization theorem of birational maps by…