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Related papers: Endomorphisms of polynomial rings and Jacobians

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This paper has been withdrawn by the authors due to some fatal errors in the analysis.

General Relativity and Quantum Cosmology · Physics 2008-03-05 Seungjoon Hyun , Jaehoon Jeong , Wontae Kim , John J. Oh

This paper has been withdrawn because there is a fundamental error in the computations; with the right computational scheme it seems to be just a version of the Jones polynomial

Geometric Topology · Mathematics 2010-07-28 Louis H. Kauffman , Simon King , Sostenes Lins

This paper has been withdrawn due to a crucial theoretical error.

This paper has been withdrawn by the author, due a critical mistake on page 3.

Algebraic Topology · Mathematics 2008-08-22 Alexandru E. Stanculescu

This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.

Quantum Physics · Physics 2016-09-08 S. Rai , J. Rai

This paper has been withdrawn by the author, due a crucial mistake in proof of lemma 4.2.

Symplectic Geometry · Mathematics 2009-01-04 Eaman Eftekhary

This paper has been withdrawn by the author due to a sheaf-theoretic error, in the end of the proof of the main theorem.

Algebraic Geometry · Mathematics 2008-09-23 Hugues Zuber

This paper has been withdrawn by the author, due to possible counter-examples.

Discrete Mathematics · Computer Science 2008-01-19 Omar Kettani

This paper has been withdrawn by the author due to an error in the proof of Theorem 1.

Geometric Topology · Mathematics 2009-03-30 Emmanuel Wagner

The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.

Mathematical Physics · Physics 2007-07-11 John Fredsted

This paper has been withdrawn by the author(s), due to a crucial error in eq. 6.

Atmospheric and Oceanic Physics · Physics 2007-05-23 A. Maurizi , F. Tampieri

This paper has been withdrawn by the author due a few mistakes in the paper.

Complex Variables · Mathematics 2011-01-19 Lakshmi Priya Magudeeswari Easwaran

This paper has been withdrawn by the author due to errors.

Computational Complexity · Computer Science 2007-05-23 Gus Gutoski

This paper has been withdrawn by the author due to serious error found in main argument.

Geometric Topology · Mathematics 2016-09-07 Valery Marenich

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

High Energy Physics - Phenomenology · Physics 2010-01-04 Fazal-e-Aleem , Sohail Afzal Tahir

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

Combinatorics · Mathematics 2008-03-12 J. Shen

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

Probability · Mathematics 2011-06-10 Alexei Stepanov

This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.

Geometric Topology · Mathematics 2007-05-23 Jonathan Williams

This paper has been withdrawn by the author due to a crucial sign error in equation (5).

General Relativity and Quantum Cosmology · Physics 2011-07-08 Wei Xu , Liu Zhao

This paper has been withdrawn by the authors due to crucial error in the main proof (located in Section 2.4). The authors apologize for any inconveniences.

Algebraic Geometry · Mathematics 2009-08-25 William N. Traves , Max Wakefield