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Related papers: A Gr\"obner basis proof of the flat extension theo…

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The paper has been withdrawn by the author due to unhappy mistake in the initial scope of the work.

Quantum Physics · Physics 2010-04-05 Alexey E. Rastegin

This paper has been withdrawn by the author. Proofs of two propositions need more details.

Mathematical Physics · Physics 2008-11-06 Manash Mukherjee

This paper has been withdrawn due to a crucial error in the proof of the main theorem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This paper has been withdrawn by the author due to an error in the last paragraph of step 2 of the main proof, on page 6.

Group Theory · Mathematics 2009-11-25 Alex Wright

This paper has been withdrawn by the author due to an error in the proof of Proposition 4.8.

Geometric Topology · Mathematics 2008-10-14 Christian Wegner

Paper withdrawn. There is a gap in the proof of Proposition 4.3 (its conclusion ``d'o\`{u} la proposition.'' is incorrect). Therefore theorems 1.1 and 3.1, which were the main results of the paper, are not proved.

Algebraic Geometry · Mathematics 2007-05-23 G. Laumon , J. L. Waldspurger

Paper withdrawn. Error lemma 7.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Chris Radford

The paper was withdrawn by the author. Further research is needed.

patt-sol · Physics 2007-05-23 V. S. Shchesnovich

This paper has been withdrawn by the author due to a crucial error in the proofs. The error has been corrected and the paper has been expanded in arXiv:0910.5327

Algebraic Geometry · Mathematics 2010-01-14 Mario Maican

This paper has been withdrawn due to a error in Theorem 3.1.

Differential Geometry · Mathematics 2008-10-20 Svetoslav Zahariev

This paper has been withdrawn by the author due to an error.

Probability · Mathematics 2011-06-10 Alexei Stepanov

The paper has been withdrawn due to a crucial error in section 3.

Rings and Algebras · Mathematics 2016-09-08 Mariana Haim , Blas Torrecillas

This paper has been withdrawn by the authors, due to the requirement of the Journal where a modified version will be published.

Functional Analysis · Mathematics 2008-09-16 Swagato K. Ray , Rudra P. Sarkar

The paper is withdrawn due to mistakes in the proofs for Proposition 1.2 and Theorem 2.2.

Algebraic Geometry · Mathematics 2007-05-23 Stefan Schroeer

This paper has been withdrawn by the author(s), due a mistake of factor 1/2.

High Energy Physics - Theory · Physics 2009-08-27 Abouzeid M. Shalaby

We explore the possibility for generalized electromagnetism on flat spacetime. For a single copy of $U(1)$ gauge theory, we show that the Galileon-type generalization of electromagnetism is forbidden. Given that the equations of motion for…

High Energy Physics - Theory · Physics 2015-06-18 Cedric Deffayet , A. Emir Gumrukcuoglu , Shinji Mukohyama , Yi Wang

We present basic properties of Gr\"obner bases of submodules of a free module of finite rank over a polynomial ring $R$ with coefficients in a graded truncated discrete valuations ring $A$. As an application, we give a criterion for a…

Commutative Algebra · Mathematics 2009-04-27 Toshiro Hiranouchi , Yuichiro Taguchi

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 is withdrawn by the author. See math.GT/9811093 for replacement.

Geometric Topology · Mathematics 2007-05-23 Terry Fuller

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

Dynamical Systems · Mathematics 2007-11-14 J. -R. Chazottes , J. -M. Gambaudo , E. Ugalde