Projections of Veronese surface and Morphisms from projective plane to Grassmannian

2016/05/20 by Abdelghani El Mazouni, Mazouni, A. El, F. Laytimi +3
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1605.06230

openalex publication_date 2016/05/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this note we describe the image of \PP² in Gr(2, \CC⁴) under a morphism given by a rank two vector bundle on \PP² with Chern classes (2,2).

Citations

• Chern classes of rank two globally generated vector bundles on P²

Related

• Morphisms from P2 to Gr(2,C4)
• Projections of Grassmannians of lines and characterization of Veronese varieties
• Tangent bundle of \PP² and morphism from \PP² to Gr(2, \CC⁴)
• On embeddings of the Grassmannian Gr(2,m) into the Grassmannian Gr(2,n)
• Maps from Grassmannians of 2-planes to projective spaces