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

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Building on the work of the fourth author in math.AG/9904074, we prove the weak factorization conjecture for birational maps in characteristic zero: a birational map between complete nonsingular varieties over an algebraically closed field…

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This paper is being withdrawn by the authors in order to correct some errors and also to introduce improved theoretical techniques.

This paper has been withdrawn by the author(s). Please see arXiv:0711.3910 for revision.

This paper has been withdrawn due to a crucial theoretical error.

This paper has been withdrawn by the author due to an error in the proof of Theorem 6.

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This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.

The paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.

This paper has been withdrawn by the author due to a crucial error related with the consideration of regular points

Major mistake. The paper has been withdrawn.

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This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.

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This article has been withdrawn due to a mistake which is explained in version 2.