MORPHISMS FROM P2 TO Gr(2,C4)

Abdelghani El Mazouni (1) , Fatima Laytimi (2) , D.S. Nagaraj (3)

1 LML - Laboratoire de Mathématiques de Lens
2 LPP - Laboratoire Paul Painlevé
3 IMSc - Institute of Mathematical Sciences [Chennai]

In this note we study morphisms from P2 to Gr(2,C4) from the point of view of the cohomology class they represent in the Grassmannian. This leads to some new result about projection of d-uple imbedding of P2 to P5.

Keywords: Projective plane; Vector bundles; Morphisms; Grassmannian

Domains: Rings and Algebras [math.RA]

Abdelghani El Mazouni, Fatima Laytimi, D.S. Nagaraj. MORPHISMS FROM P2 TO Gr(2,C4). 2009. ⟨hal-00436240⟩