2006/12/14 by Antonio Lanteri, Lanteri, Antonio, Raquel Mallavibarrena +3
Mathematics · #14C17 #14J26 #14N05 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #math.AG #math.DG #msc:14C17 #msc:14J26 #msc:14N05
paper · pdf · doi:10.48550/arxiv.math/0612403
9 pages, improved version. Accepted in Mathematische Zeitschrift
openalex publication_date 2006/12/14 · arxiv created 2007/03/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let X⊂ \mathbb PN be a scroll over a smooth curve C and let Ł=\mathcal O\mathbb PN(1)|X denote the hyperplane bundle. The special geometry of X implies that some sheaves related to the principal part bundles of Ł are locally free. The inflectional loci of X can be expressed in terms of these sheaves, leading to explicit formulas for the cohomology classes of the loci. The formulas imply that the only uninflected scrolls are the balanced rational normal scrolls.