2007/07/10 by Herbert Lange, Lange, H., P. E. Newstead +1
Mathematics · #14D20 #14F05 #14H60 #32L10 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.0707.1466
openalex publication_date 2007/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 consider the case k=1 and study the variation of the moduli spaces with α. We determine inductively the first and last moduli spaces and the flip loci, and give an explicit description for ranks 2 and 3. We also determine the Hodge polynomials explicitly for ranks 2 and 3 and in certain cases for arbitrary rank.