On the ample vector bundles over curves in positive characteristic

Biswas, Indranil ; Parameswaran, A. J. (2004) On the ample vector bundles over curves in positive characteristic Comptes Rendus Mathematique, 339 (5). pp. 355-358. ISSN 1631-073X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S16310...

Related URL: http://dx.doi.org/10.1016/j.crma.2004.07.006

Abstract

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.

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