Related papers: Detecting linear dependence on a semiabelian varie…

This paper has been withdrawn by the author due to that the main results and approaches are closedly parallel to the ones in Lie algebra case.

This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2

The paper has been withdrawn by the author, due to it being fundamentally flawed.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This paper has been withdrawn by the authors due to an error.

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.

The paper has been withdrawn due to a crucial error in section 3.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author(s), due the final version in math.QA/0604564

The paper has been withdrawn by the author due to a crucial error.

This paper is withdrawn. The current main theorem can be proved by using a simple field theory. The main theorem is to placed by another theorem, shortly.

This paper has been withdrawn by the author because there are some typos in proofs.

We prove a connexity theorem for abelian varieties in characteristic $0$: if $X$ is an abelian variety and $V\rightarrow X$ and $W\rightarrow X$ two morphisms, then, under certain hypotheses, the fiber product of $V$ and $W$ over $X$ is…

This paper is withdrawn from submission due to a critical error in the proof of main theorem.

This paper has been withdrawn by the author, since the result was already known.

This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1

This paper has been withdrawn by the author for further investigation.

This paper has been withdrawn by the authors due to some fatal errors in the analysis.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

The paper has been withdrawn by the author.

This paper has been withdrawn by the author due to a critical error in the proof of Theorem 5.4 on which the proof of the main theorem on the non-simplenss was based.