2007/04/01 by Herbert Lange, P. E. Newstead · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Mathematics #Genus #Projective line #Pure mathematics #Work (physics) #Line (geometry) #Value (mathematics) #Projective test #Discrete mathematics #Geometry #Projective space #Statistics #Ecology #Quantum mechanics #Physics
paper · doi:10.1142/s0129167x07004072
openalex publication_date 2007/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15
In this paper, we continue the investigation of coherent systems of type (n,d,k) on the projective line which are stable with respect to some value of a parameter α. We work mainly with k < n and obtain existence results for arbitrary k in certain cases, together with complete results for k = 3. Our methods involve the use of the "flips" which occur at critical values of the parameter.