Linear systems in P³ with low degrees and low multiplicities

2008/10/12 by Marcin Dumnicki, Dumnicki, Marcin
Computer Science · Mathematics · Physics and Astronomy · #14J17 #14J70 #Algebraic Geometry (math.AG) #Coding theory and cryptography #FOS: Mathematics #Polynomial and algebraic computation #Quantum chaos and dynamical systems #math.AG #msc:14J17 #msc:14J70

paper · pdf · doi:10.48550/arxiv.0810.2117

arxiv created 2008/10/12 · openalex publication_date 2008/10/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the linear system of hypersurfaces in P³ of degree d, 14 <= d <= 40, with double, triple and quadruple points in general position are non-special. This solves the cases that have not been completed in a paper by E. Ballico and M.C. Brambilla.

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