Journal of the Ramanujan Mathematical Society

A. El Mazouni ¹, F. Laytimi ², D. S. Nagaraj ³

Affiliations
1 Laboratoire De Mathematiques De Lens EA 2462, Faculte Des Sciences Jean Perrin Rue Jean Souvraz, SP18 F-62307, Lens Cedex, FR
2 Mathematiques-Bat. M2, Universite Lille 1, F-59655 Villeneuve D’Ascq Cedex, FR
3 Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai-600113, IN

Abstract

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 embedding of ℙ² to ℙ⁵.

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A. El Mazouni ¹, F. Laytimi ², D. S. Nagaraj ³

Affiliations
1 Laboratoire De Mathematiques De Lens EA 2462 Faculte Des Sciences Jean Perrin Rue Jean Souvraz, SP18 F-62307 LENS Cedex, FR
2 Mathematiques-Bat. M2, Universite Lille 1, F-59655 Villeneuve D’Ascq Cedex, FR
3 Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai-600113, IN

Abstract

For a line bundle L on non-singular irreducible curve C one has a rank two vector bundle E_L on the second symmetric power S²(C) of C. The aim of this note is to investigate some natural properties of the vector bundle E_L.

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