2011/03/07 by Indranil Biswas, Biswas, Indranil, F. Laytimi +1 · 1 citation
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #14F05 #14F17 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1103.1190
openalex publication_date 2011/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct projectivization of a parabolic vector bundle and a tautological line bundle over it. It is shown that a parabolic vector bundle is ample if and only if the tautological line bundle is ample. This allows us to generalize the notion of a k-ample bundle, introduced by Sommese, to the context of parabolic bundles. A parabolic vector bundle E_* is defined to be k-ample if the tautological line bundle \mathcal O_\mathbb P(E_*)(1) is k--ample. We establish some properties of parabolic k-ample bundles.