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Comptes Rendus Mathématique
Volume 339, n° 5
pages 355-358 (septembre 2004)
Doi : 10.1016/j.crma.2004.07.006
Received : 23 Mars 2004 ;  accepted : 12 July 2004
On the ample vector bundles over curves in positive characteristic
À propos des fibrés vectoriels amples sur les courbes en caractéristique positive.

Indranil Biswas , A.J. Parameswaran
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay 400005, India 


Let E be an ample vector bundle over a smooth projective curve defined over an algebraically closed field of positive characteristic. We construct a family of curves in the total space of E , parametrized by an affine space, that surjects onto the total space of E and give a deformation of (nonreduced) zero section of E . To cite this article: I. Biswas, A.J. Parameswaran, C. R. Acad. Sci. Paris, Ser. I 339 (2004).

The full text of this article is available in PDF format.

Soit E un fibré vectoriel ample sur une courbe projective et lisse définie sur un corps algébriquement clos de caractéristique positive. Nous construisons une famille de courbes dans lʼespace total de E , paramétrisée par un espace affine, qui domine lʼespace total de E et qui fournit une déformation de la section nulle (non réduite) du fibré E . Pour citer cet article : I. Biswas, A.J. Parameswaran, C. R. Acad. Sci. Paris, Ser. I 339 (2004).

The full text of this article is available in PDF format.

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