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The Dixmier conjecture and the shape of possible counterexamples · arXivDesk

1111.6100Nov 25, 201143 pages; 6 figures; this a resume version made out of the previous version and "The Dixmier conjecture and the shape of possible counterexamples II"

The Dixmier conjecture and the shape of possible counterexamples

Jorge A. Guccione, Juan J. Guccione, Christian Valqui

Rings and Algebras

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Abstract

We establish a lower bound for the size of possible counterexamples of the Dixmier Conjecture. We prove that $B>15$ , where $B$ is the minimum of the greatest common divisor of the total degrees of $P$ and $Q$ , where $(P,Q)$

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We establish a lower bound for the size of possible counterexamples of the Dixmier Conjecture. We prove that B>15, where B is the minimum of the greatest common divisor of the total degrees of P and Q, where (P,Q) runs over the counterexamples of the Dixmier Conjecture.

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The paper addresses: The Dixmier conjecture and the shape of possible counterexamples.
We establish a lower bound for the size of possible counterexamples of the Dixmier Conjecture.

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Author comment: 43 pages; 6 figures; this a resume version made out of the previous version and "The Dixmier conjecture and the shape of possible counterexamples II"