2013/09/02 by Marcos Jardim, Jardim, Marcos, Simone Marchesi +1
Mathematics · Medicine · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics #Complex projective space #Computer science #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Mathematics #Ophthalmology and Eye Disorders #Projective space #Projective test #Pure mathematics #Rank (graph theory) #Space (punctuation) #math.AG
paper · pdf · doi:10.48550/arxiv.1309.0447
Corrected previous results
openalex publication_date 2013/09/02 · arxiv created 2014/07/08 · arxiv updated 2014/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It has been proved by various authors that a normalized, 1-Buchsbaum rank 2 vector bundle on P3 is a nullcorrelation bundle, while a normalized, 2-Buchsbaum rank 2 vector bundle on P3 is an instanton bundle of charge 2. We find that the same is not true for 3-Buchsbaum rank 2 vector bundles on P3, and propose a conjecture regarding the classification of such objects.