The Dixmier conjecture and the shape of possible counterexamples

2011/11/25 by Jorge A. Guccione, Guccione, Jorge A., Juan J. Guccione +3 · 1 citation
Mathematics · #16S32 (Primary) 16W20 (Secondary) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1111.6100

openalex publication_date 2011/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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) runs over the counterexamples of the Dixmier Conjecture.

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