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This paper has been withdrawn by the author due to a crucial error in the last lines in the proof of Lemma 3.3.

Algebraic Geometry · Mathematics 2008-04-17 Nguyen Van Chau

This paper has been withdrawn due to a crucial error in the proof of the main theorem

Algebraic Geometry · Mathematics 2007-05-23 Eriko Hironaka

This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2

Algebraic Geometry · Mathematics 2009-09-29 Ilya Tyomkin

This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.

Analysis of PDEs · Mathematics 2014-01-14 Christian G. Boehmer

This paper has been withdrawn by the author due to a crucial error.

Algebraic Geometry · Mathematics 2009-06-09 Takehiko Yasuda

This paper has been withdrawn by the author due to some mistakes

Quantum Physics · Physics 2009-06-18 Daqing Liu

This paper has been withdrawn by the author due to a crucial error in the definition of homomorphism.

Dynamical Systems · Mathematics 2007-05-23 Maria A. Avino-Diaz , Gabriela Bulancea

This paper has been withdrawn due to a crucial theoretical and experimental error.

This paper has been withdrawn, because of an error in the proof of the main Theorem

Analysis of PDEs · Mathematics 2016-03-24 Luca Fanelli

This paper has been withdrawn by the author due to a crucial argument error at p.10.

Commutative Algebra · Mathematics 2007-05-23 Susumu Oda

This paper has been withdrawn by the author due to serious flaws in certain proofs.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.

Number Theory · Mathematics 2007-08-29 Ping-Shun Chan

This paper has been withdrawn by the author due to an error in the sufficient condition given for the proof of the Tate conjecture for Catanese surfaces.

Algebraic Geometry · Mathematics 2011-11-17 Paul Lewis

This paper has been withdrawn by the authors, due to an error in the proof of Lemma 3.1.

Mathematical Physics · Physics 2007-05-23 Michael Aizenman , Alexander Elgart , Jeffrey H. Schenker

This paper is being withdrawn because an error was discovered in lemma 4.3.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.

Metric Geometry · Mathematics 2007-05-23 Lewis Bowen

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

Number Theory · Mathematics 2007-05-23 Tomohiro Yamada

This paper has been withdrawn by the author due to the incorrect application of the divergence theorem to Eqs 7, 8 and 9.

Soft Condensed Matter · Physics 2008-01-17 Chiu Fan Lee

This paper has been withdrawn since the results are not satisfied.

Differential Geometry · Mathematics 2009-06-19 Guangyue Huang , Bingqing Ma

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

Complex Variables · Mathematics 2007-05-23 Miran Cerne , Manuel Flores

The paper has been withdrawn due to an error in the main theorem.

Functional Analysis · Mathematics 2009-11-10 Kevin Beanland , Frank Sanacory

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

Combinatorics · Mathematics 2012-06-22 Øystein J. Rødseth