Journal of the Ramanujan Mathematical Society

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Secant Bundles on Second Symmetric Power of a Curve


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

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

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Authors

A. El Mazouni
Laboratoire De Mathematiques De Lens EA 2462 Faculte Des Sciences Jean Perrin Rue Jean Souvraz, SP18 F-62307 LENS Cedex, France
F. Laytimi
Mathematiques-Bat. M2, Universite Lille 1, F-59655 Villeneuve D’Ascq Cedex, France
D. S. Nagaraj
Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai-600113, India

Abstract


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