Related papers: A Gr\"obner basis proof of the flat extension theo…
The paper has been withdrawn by the author due to unhappy mistake in the initial scope of the work.
This paper has been withdrawn by the author. Proofs of two propositions need more details.
This paper has been withdrawn due to a crucial error in the proof of the main theorem
This paper has been withdrawn by the author due to an error in the last paragraph of step 2 of the main proof, on page 6.
This paper has been withdrawn by the author due to an error in the proof of Proposition 4.8.
Paper withdrawn.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.
Paper withdrawn. Error lemma 7.
The paper was withdrawn by the author. Further research is needed.
This paper has been withdrawn by the author due to a crucial error in the proofs.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
This paper has been withdrawn due to a error in Theorem 3.1.
This paper has been withdrawn by the author due to an error.
The paper has been withdrawn due to a crucial error in section 3.
This paper has been withdrawn by the authors, due to the requirement of the Journal where a modified version will be published.
The paper is withdrawn due to mistakes in the proofs for Proposition 1.2 and Theorem 2.2.
This paper has been withdrawn by the author(s), due a mistake of factor 1/2.
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…
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…
This paper is being withdrawn because an error was discovered in lemma 4.3.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.
This paper is withdrawn by the author. See math.GT/9811093 for replacement.
This paper has been withdrawn by the authors due to an error in the main theorem.